62381500054416 has 135 divisors (see below), whose sum is σ = 175610082907441. Its totient is φ = 20672043169152.

The previous prime is 62381500054399. The next prime is 62381500054459. The reversal of 62381500054416 is 61445000518326.

The square root of 62381500054416 is 7898196.

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

62381500054416 is a `hidden beast` number, since 6 + 2 + 3 + 81 + 500 + 0 + 54 + 4 + 16 = 666.

62381500054416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 49789676192400 + 12591823862016 = 7056180^2 + 3548496^2 .

It is a super-2 number, since 2×62381500054416² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16965323170 + ... + 16965326846.

Almost surely, 2^{62381500054416} is an apocalyptic number.

62381500054416 is the 7898196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62381500054416

62381500054416 is an abundant number, since it is smaller than the sum of its proper divisors (113228582853025).

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

62381500054416 is an frugal number, since it uses more digits than its factorization.

62381500054416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 62381500054416 in words is "sixty-two trillion, three hundred eighty-one billion, five hundred million, fifty-four thousand, four hundred sixteen".