4146898896 has 320 divisors, whose sum is σ = 14351462400. Its totient is φ = 1120863744.

The previous prime is 4146898891. The next prime is 4146898897. The reversal of 4146898896 is 6988986414.

4146898896 is a `hidden beast` number, since 4 + 1 + 468 + 9 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146898891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7580895 + ... + 7581441.

It is an arithmetic number, because the mean of its divisors is an integer number (44848320).

Almost surely, 2^4146898896 is an apocalyptic number.

4146898896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146898896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175731200).

4146898896 is an abundant number, since it is smaller than the sum of its proper divisors (10204563504).

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

4146898896 is a wasteful number, since it uses less digits than its factorization.

4146898896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 4146898896 is about 64396.4199004883. The cubic root of 4146898896 is about 1606.6001963590.

The spelling of 4146898896 in words is "four billion, one hundred forty-six million, eight hundred ninety-eight thousand, eight hundred ninety-six".