61339955993316 has 288 divisors, whose sum is σ = 213810694825728. Its totient is φ = 14309398932480.

The previous prime is 61339955993249. The next prime is 61339955993333.

61339955993316 is a `hidden beast` number, since 6 + 1 + 3 + 39 + 9 + 559 + 9 + 3 + 31 + 6 = 666.

61339955993316 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21669175 + ... + 24335838.

Almost surely, 2^{61339955993316} is an apocalyptic number.

61339955993316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61339955993316 is an abundant number, since it is smaller than the sum of its proper divisors (152470738832412).

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

61339955993316 is a wasteful number, since it uses less digits than its factorization.

61339955993316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46005091 (or 46005086 counting only the distinct ones).

The product of its digits is 478296900, while the sum is 72.

The spelling of 61339955993316 in words is "sixty-one trillion, three hundred thirty-nine billion, nine hundred fifty-five million, nine hundred ninety-three thousand, three hundred sixteen".