45502865856 has 672 divisors, whose sum is σ = 170947445760. Its totient is φ = 11693113344.

The previous prime is 45502865827. The next prime is 45502865857. The reversal of 45502865856 is 65856820554.

It is a happy number.

45502865856 is a `hidden beast` number, since 4 + 5 + 50 + 2 + 8 + 6 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×45502865856² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45502865857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42565290 + ... + 42566358.

It is an arithmetic number, because the mean of its divisors is an integer number (254386080).

Almost surely, 2^45502865856 is an apocalyptic number.

45502865856 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 45502865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85473722880).

45502865856 is an abundant number, since it is smaller than the sum of its proper divisors (125444579904).

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

45502865856 is a wasteful number, since it uses less digits than its factorization.

45502865856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 45502865856 in words is "forty-five billion, five hundred two million, eight hundred sixty-five thousand, eight hundred fifty-six".