45267256800 has 432 divisors, whose sum is σ = 175342527360. Its totient is φ = 10937963520.

The previous prime is 45267256751. The next prime is 45267256813. The reversal of 45267256800 is 865276254.

45267256800 is a `hidden beast` number, since 4 + 526 + 72 + 56 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3139207 + ... + 3153593.

It is an arithmetic number, because the mean of its divisors is an integer number (405885480).

Almost surely, 2^45267256800 is an apocalyptic number.

45267256800 is a gapful number since it is divisible by the number (40) 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 45267256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87671263680).

45267256800 is an abundant number, since it is smaller than the sum of its proper divisors (130075270560).

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

45267256800 is a wasteful number, since it uses less digits than its factorization.

45267256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14455 (or 14439 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45267256800 in words is "forty-five billion, two hundred sixty-seven million, two hundred fifty-six thousand, eight hundred".