61958874988816 has 405 divisors, whose sum is σ = 142313594108463. Its totient is φ = 26115402792960.

The previous prime is 61958874988753. The next prime is 61958874988841. The reversal of 61958874988816 is 61888947885916.

The square root of 61958874988816 is 7871396.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4406623846416 + 57552251142400 = 2099196^2 + 7586320^2 .

Its product of digits (13377208320) is a multiple of the sum of its prime factors (648).

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 80 ways as a sum of consecutive naturals, for example, 241085116560 + ... + 241085116816.

Almost surely, 2^{61958874988816} is an apocalyptic number.

61958874988816 is the 7871396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61958874988816

61958874988816 is an abundant number, since it is smaller than the sum of its proper divisors (80354719119647).

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

61958874988816 is a wasteful number, since it uses less digits than its factorization.

61958874988816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 322 counting only the distinct ones).

The product of its digits is 13377208320, while the sum is 88.

The spelling of 61958874988816 in words is "sixty-one trillion, nine hundred fifty-eight billion, eight hundred seventy-four million, nine hundred eighty-eight thousand, eight hundred sixteen".