465300363003564 has 108 divisors (see below), whose sum is σ = 1205306263373576. Its totient is φ = 139604064864000.

The previous prime is 465300363003481. The next prime is 465300363003569.

It is a happy number.

465300363003564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×465300363003564² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (465300363003569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 895177 + ... + 30518880.

Almost surely, 2^{465300363003564} is an apocalyptic number.

465300363003564 is a gapful number since it is divisible by the number (44) 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 465300363003564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602653131686788).

465300363003564 is an abundant number, since it is smaller than the sum of its proper divisors (740005900370012).

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

465300363003564 is a wasteful number, since it uses less digits than its factorization.

465300363003564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31414288 (or 31414174 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 48.

The spelling of 465300363003564 in words is "four hundred sixty-five trillion, three hundred billion, three hundred sixty-three million, three thousand, five hundred sixty-four".