61631413616 has 80 divisors (see below), whose sum is σ = 122838387840. Its totient is φ = 29947449600.

The previous prime is 61631413601. The next prime is 61631413637.

61631413616 is nontrivially palindromic in base 10.

61631413616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61631413616² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61631413616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21861455 + ... + 21864273.

It is an arithmetic number, because the mean of its divisors is an integer number (1535479848).

Almost surely, 2^61631413616 is an apocalyptic number.

It is an amenable number.

61631413616 is a deficient number, since it is larger than the sum of its proper divisors (61206974224).

61631413616 is a wasteful number, since it uses less digits than its factorization.

61631413616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3168 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The spelling of 61631413616 in words is "sixty-one billion, six hundred thirty-one million, four hundred thirteen thousand, six hundred sixteen".