465672713688 has 256 divisors, whose sum is σ = 1611703833600. Its totient is φ = 122814361728.

The previous prime is 465672713659. The next prime is 465672713689. The reversal of 465672713688 is 886317276564.

465672713688 is a `hidden beast` number, since 4 + 6 + 567 + 2 + 7 + 1 + 3 + 68 + 8 = 666.

It is a super-2 number, since 2×465672713688² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465672713689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1445895 + ... + 1738377.

It is an arithmetic number, because the mean of its divisors is an integer number (6295718100).

Almost surely, 2^465672713688 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 465672713688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805851916800).

465672713688 is an abundant number, since it is smaller than the sum of its proper divisors (1146031119912).

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

465672713688 is a wasteful number, since it uses less digits than its factorization.

465672713688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292530 (or 292508 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 465672713688 in words is "four hundred sixty-five billion, six hundred seventy-two million, seven hundred thirteen thousand, six hundred eighty-eight".