465618813072 has 320 divisors, whose sum is σ = 1449205530624. Its totient is φ = 126016450560.

The previous prime is 465618812993. The next prime is 465618813091. The reversal of 465618813072 is 270318816564.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340612933 + ... + 340614299.

Almost surely, 2^465618813072 is an apocalyptic number.

465618813072 is a gapful number since it is divisible by the number (42) 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 465618813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724602765312).

465618813072 is an abundant number, since it is smaller than the sum of its proper divisors (983586717552).

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

465618813072 is a wasteful number, since it uses less digits than its factorization.

465618813072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 465618813072 in words is "four hundred sixty-five billion, six hundred eighteen million, eight hundred thirteen thousand, seventy-two".