52662481499664 has 135 divisors (see below), whose sum is σ = 156565696753063. Its totient is φ = 16521098382336.

The previous prime is 52662481499611. The next prime is 52662481499669. The reversal of 52662481499664 is 46699418426625.

The square root of 52662481499664 is 7256892.

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

52662481499664 is a `hidden beast` number, since 5 + 26 + 62 + 481 + 4 + 9 + 9 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 292365141264 + 52370116358400 = 540708^2 + 7236720^2 .

It is a super-2 number, since 2×52662481499664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52662481499592 and 52662481499601.

It is not an unprimeable number, because it can be changed into a prime (52662481499669) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1480388182 + ... + 1480423754.

Almost surely, 2^{52662481499664} is an apocalyptic number.

52662481499664 is the 7256892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52662481499664

52662481499664 is an abundant number, since it is smaller than the sum of its proper divisors (103903215253399).

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

52662481499664 is an frugal number, since it uses more digits than its factorization.

52662481499664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71194 (or 35595 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 52662481499664 in words is "fifty-two trillion, six hundred sixty-two billion, four hundred eighty-one million, four hundred ninety-nine thousand, six hundred sixty-four".