456511368485025 has 36 divisors (see below), whose sum is σ = 934471525079872. Its totient is φ = 208690911306720.

The previous prime is 456511368485023. The next prime is 456511368485041. The reversal of 456511368485025 is 520584863115654.

456511368485025 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 11 + 36 + 84 + 8 + 502 + 5 = 666.

It is not a de Polignac number, because 456511368485025 - 2¹ = 456511368485023 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456511368485023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144924242389 + ... + 144924245538.

Almost surely, 2^{456511368485025} is an apocalyptic number.

456511368485025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456511368485025 is an abundant number, since it is smaller than the sum of its proper divisors (477960156594847).

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

456511368485025 is a wasteful number, since it uses less digits than its factorization.

456511368485025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289848487950 (or 289848487942 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 456511368485025 in words is "four hundred fifty-six trillion, five hundred eleven billion, three hundred sixty-eight million, four hundred eighty-five thousand, twenty-five".