61913382976 has 63 divisors (see below), whose sum is σ = 129745240509. Its totient is φ = 29309476608.

The previous prime is 61913382953. The next prime is 61913382977. The reversal of 61913382976 is 67928331916.

The square root of 61913382976 is 248824.

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

It can be written as a sum of positive squares in only one way, i.e., 1876622400 + 60036760576 = 43320^2 + 245024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61913382977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37820430 + ... + 37822066.

Almost surely, 2^61913382976 is an apocalyptic number.

61913382976 is the 248824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61913382976

61913382976 is an abundant number, since it is smaller than the sum of its proper divisors (67831857533).

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

61913382976 is an frugal number, since it uses more digits than its factorization.

61913382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 1658 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

It can be divided in two parts, 61913 and 382976, that added together give a square (444889 = 667²).

The spelling of 61913382976 in words is "sixty-one billion, nine hundred thirteen million, three hundred eighty-two thousand, nine hundred seventy-six".