465738837564 has 576 divisors, whose sum is σ = 1543452019200. Its totient is φ = 107318937600.

The previous prime is 465738837547. The next prime is 465738837589.

465738837564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (406425600) is a multiple of the sum of its prime divisors (945).

It is a junction number, because it is equal to n+sod(n) for n = 465738837495 and 465738837504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 948551359 + ... + 948551849.

It is an arithmetic number, because the mean of its divisors is an integer number (2679604200).

Almost surely, 2^465738837564 is an apocalyptic number.

465738837564 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 465738837564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771726009600).

465738837564 is an abundant number, since it is smaller than the sum of its proper divisors (1077713181636).

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

465738837564 is a wasteful number, since it uses less digits than its factorization.

465738837564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 945 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 66.

The spelling of 465738837564 in words is "four hundred sixty-five billion, seven hundred thirty-eight million, eight hundred thirty-seven thousand, five hundred sixty-four".