62613923106816 has 117 divisors (see below), whose sum is σ = 180866974695589. Its totient is φ = 20870801276928.

The previous prime is 62613923106793. The next prime is 62613923106821. The reversal of 62613923106816 is 61860132931626.

The square root of 62613923106816 is 7912896.

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

62613923106816 is a `hidden beast` number, since 6 + 2 + 613 + 9 + 2 + 3 + 1 + 0 + 6 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62589617049600 + 24306057216 = 7911360^2 + 155904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1519255426 + ... + 1519296638.

Almost surely, 2^{62613923106816} is an apocalyptic number.

62613923106816 is the 7912896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62613923106816

62613923106816 is an abundant number, since it is smaller than the sum of its proper divisors (118253051588773).

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

62613923106816 is an frugal number, since it uses more digits than its factorization.

62613923106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82456 (or 41218 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 62613923106816 in words is "sixty-two trillion, six hundred thirteen billion, nine hundred twenty-three million, one hundred six thousand, eight hundred sixteen".