45256625253504 has 384 divisors, whose sum is σ = 155337855079680. Its totient is φ = 12365743104000.

The previous prime is 45256625253493. The next prime is 45256625253569. The reversal of 45256625253504 is 40535252665254.

45256625253504 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 6 + 62 + 525 + 3 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020259294 + ... + 1020303650.

It is an arithmetic number, because the mean of its divisors is an integer number (404525664270).

Almost surely, 2^{45256625253504} 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 45256625253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77668927539840).

45256625253504 is an abundant number, since it is smaller than the sum of its proper divisors (110081229826176).

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

45256625253504 is a wasteful number, since it uses less digits than its factorization.

45256625253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49908 (or 49893 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 54.

The spelling of 45256625253504 in words is "forty-five trillion, two hundred fifty-six billion, six hundred twenty-five million, two hundred fifty-three thousand, five hundred four".