465126621564 has 96 divisors (see below), whose sum is σ = 1219446144000. Its totient is φ = 136744623360.

The previous prime is 465126621541. The next prime is 465126621569.

It is a happy number.

465126621564 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×465126621564³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465126621569) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1568077 + ... + 1840955.

It is an arithmetic number, because the mean of its divisors is an integer number (12702564000).

Almost surely, 2^465126621564 is an apocalyptic number.

465126621564 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 465126621564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609723072000).

465126621564 is an abundant number, since it is smaller than the sum of its proper divisors (754319522436).

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

465126621564 is a wasteful number, since it uses less digits than its factorization.

465126621564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273283 (or 273281 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 465126621564 in words is "four hundred sixty-five billion, one hundred twenty-six million, six hundred twenty-one thousand, five hundred sixty-four".