465741056088 has 384 divisors, whose sum is σ = 1672757568000. Its totient is φ = 118687645440.

The previous prime is 465741056057. The next prime is 465741056101. The reversal of 465741056088 is 880650147564.

465741056088 is a `hidden beast` number, since 4 + 6 + 5 + 74 + 1 + 0 + 560 + 8 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6132733 + ... + 6208211.

It is an arithmetic number, because the mean of its divisors is an integer number (4356139500).

Almost surely, 2^465741056088 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 465741056088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836378784000).

465741056088 is an abundant number, since it is smaller than the sum of its proper divisors (1207016511912).

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

465741056088 is a wasteful number, since it uses less digits than its factorization.

465741056088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75572 (or 75555 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 465741056088 in words is "four hundred sixty-five billion, seven hundred forty-one million, fifty-six thousand, eighty-eight".