465263362564 has 192 divisors, whose sum is σ = 1174800291840. Its totient is φ = 155132651520.

The previous prime is 465263362549. The next prime is 465263362589.

465263362564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4509547 + ... + 4611565.

It is an arithmetic number, because the mean of its divisors is an integer number (6118751520).

Almost surely, 2^465263362564 is an apocalyptic number.

465263362564 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 465263362564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587400145920).

465263362564 is an abundant number, since it is smaller than the sum of its proper divisors (709536929276).

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

465263362564 is a wasteful number, since it uses less digits than its factorization.

465263362564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102138 (or 102136 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 465263362564 in words is "four hundred sixty-five billion, two hundred sixty-three million, three hundred sixty-two thousand, five hundred sixty-four".