46149642 has 96 divisors (see below), whose sum is σ = 128956800. Its totient is φ = 11975040.

The previous prime is 46149637. The next prime is 46149647. The reversal of 46149642 is 24694164.

46149642 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 9 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (46149637) and next prime (46149647).

It is a junction number, because it is equal to n+sod(n) for n = 46149597 and 46149606.

It is not an unprimeable number, because it can be changed into a prime (46149647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45234 + ... + 46242.

It is an arithmetic number, because the mean of its divisors is an integer number (1343300).

Almost surely, 2^46149642 is an apocalyptic number.

46149642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46149642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64478400).

46149642 is an abundant number, since it is smaller than the sum of its proper divisors (82807158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46149642 is a wasteful number, since it uses less digits than its factorization.

46149642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1032 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 46149642 is about 6793.3527804759. The cubic root of 46149642 is about 358.6928987615.

The spelling of 46149642 in words is "forty-six million, one hundred forty-nine thousand, six hundred forty-two".