45966336 has 88 divisors (see below), whose sum is σ = 132056064. Its totient is φ = 14131200.

The previous prime is 45966299. The next prime is 45966337. The reversal of 45966336 is 63366954.

It is a super-2 number, since 2×45966336² = 4225808090529792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45966337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39361 + ... + 40511.

Almost surely, 2^45966336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66028032).

45966336 is an abundant number, since it is smaller than the sum of its proper divisors (86089728).

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

45966336 is a wasteful number, since it uses less digits than its factorization.

45966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1169 counting only the distinct ones).

The product of its digits is 349920, while the sum is 42.

The square root of 45966336 is about 6779.8477859020. The cubic root of 45966336 is about 358.2173601743.

It can be divided in two parts, 459 and 66336, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 45966336 in words is "forty-five million, nine hundred sixty-six thousand, three hundred thirty-six".