465729160490976 has 48 divisors (see below), whose sum is σ = 1223068055545728. Its totient is φ = 155175877718400.

The previous prime is 465729160490959. The next prime is 465729160491029. The reversal of 465729160490976 is 679094061927564.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×465729160490976² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465729160490898 and 465729160490907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1049398530 + ... + 1049842241.

It is an arithmetic number, because the mean of its divisors is an integer number (25480584490536).

Almost surely, 2^{465729160490976} is an apocalyptic number.

It is an amenable number.

465729160490976 is an abundant number, since it is smaller than the sum of its proper divisors (757338895054752).

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

465729160490976 is a wasteful number, since it uses less digits than its factorization.

465729160490976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099243095 (or 2099243087 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 75.

The spelling of 465729160490976 in words is "four hundred sixty-five trillion, seven hundred twenty-nine billion, one hundred sixty million, four hundred ninety thousand, nine hundred seventy-six".