61131264064 has 84 divisors (see below), whose sum is σ = 131475266640. Its totient is φ = 28188925440.

The previous prime is 61131264059. The next prime is 61131264143. The reversal of 61131264064 is 46046213116.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17509359 + ... + 17512849.

Almost surely, 2^61131264064 is an apocalyptic number.

61131264064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61131264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65737633320).

61131264064 is an abundant number, since it is smaller than the sum of its proper divisors (70344002576).

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

61131264064 is a wasteful number, since it uses less digits than its factorization.

61131264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 61131264064 in words is "sixty-one billion, one hundred thirty-one million, two hundred sixty-four thousand, sixty-four".