45536096858112 has 416 divisors, whose sum is σ = 154224205493760. Its totient is φ = 13006371225600.

The previous prime is 45536096858107. The next prime is 45536096858233. The reversal of 45536096858112 is 21185869063554.

45536096858112 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 609 + 6 + 8 + 5 + 8 + 1 + 12 = 666.

It is a super-2 number, since 2×45536096858112² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45536096858112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3385324987 + ... + 3385338437.

Almost surely, 2^{45536096858112} is an apocalyptic number.

45536096858112 is a gapful number since it is divisible by the number (42) 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 45536096858112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112102746880).

45536096858112 is an abundant number, since it is smaller than the sum of its proper divisors (108688108635648).

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

45536096858112 is a wasteful number, since it uses less digits than its factorization.

45536096858112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17864 (or 17836 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 45536096858112 in words is "forty-five trillion, five hundred thirty-six billion, ninety-six million, eight hundred fifty-eight thousand, one hundred twelve".