465116940288 has 960 divisors, whose sum is σ = 1865978674560. Its totient is φ = 111476736000.

The previous prime is 465116940263. The next prime is 465116940313. The reversal of 465116940288 is 882049611564.

465116940288 is a `hidden beast` number, since 4 + 6 + 511 + 6 + 9 + 40 + 2 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (465116940263) and next prime (465116940313).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166052488 + ... + 166055288.

It is an arithmetic number, because the mean of its divisors is an integer number (1943727786).

Almost surely, 2^465116940288 is an apocalyptic number.

465116940288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465116940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932989337280).

465116940288 is an abundant number, since it is smaller than the sum of its proper divisors (1400861734272).

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

465116940288 is a wasteful number, since it uses less digits than its factorization.

465116940288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 465116940288 in words is "four hundred sixty-five billion, one hundred sixteen million, nine hundred forty thousand, two hundred eighty-eight".