36472516405504 has 81 divisors (see below), whose sum is σ = 76110151571139. Its totient is φ = 17442314503680.

The previous prime is 36472516405373. The next prime is 36472516405511. The reversal of 36472516405504 is 40550461527463.

The square root of 36472516405504 is 6039248.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×36472516405504² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2222435059 + ... + 2222451469.

Almost surely, 2^{36472516405504} is an apocalyptic number.

36472516405504 is the 6039248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36472516405504

36472516405504 is an abundant number, since it is smaller than the sum of its proper divisors (39637635165635).

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

36472516405504 is an frugal number, since it uses more digits than its factorization.

36472516405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32884 (or 16436 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 52.

The spelling of 36472516405504 in words is "thirty-six trillion, four hundred seventy-two billion, five hundred sixteen million, four hundred five thousand, five hundred four".