45699287120928 has 720 divisors, whose sum is σ = 162659116376064. Its totient is φ = 12536116346880.

The previous prime is 45699287120923. The next prime is 45699287120933. The reversal of 45699287120928 is 82902178299654.

45699287120928 is a `hidden beast` number, since 4 + 56 + 99 + 287 + 1 + 209 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45699287120923) and next prime (45699287120933).

It is a super-2 number, since 2×45699287120928² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45699287120923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 499984800 + ... + 500076192.

Almost surely, 2^{45699287120928} is an apocalyptic number.

45699287120928 is a gapful number since it is divisible by the number (48) 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 45699287120928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81329558188032).

45699287120928 is an abundant number, since it is smaller than the sum of its proper divisors (116959829255136).

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

45699287120928 is a wasteful number, since it uses less digits than its factorization.

45699287120928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91587 (or 91563 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 45699287120928 in words is "forty-five trillion, six hundred ninety-nine billion, two hundred eighty-seven million, one hundred twenty thousand, nine hundred twenty-eight".