61130756155456 has 105 divisors (see below), whose sum is σ = 131437580595611. Its totient is φ = 28209316332288.

The previous prime is 61130756155423. The next prime is 61130756155487. The reversal of 61130756155456 is 65455165703116.

The square root of 61130756155456 is 7818616.

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

It can be written as a sum of positive squares in 2 ways, for example, as 30309605333056 + 30821150822400 = 5505416^2 + 5551680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61130756155397 and 61130756155406.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10570765941 + ... + 10570771723.

Almost surely, 2^{61130756155456} is an apocalyptic number.

61130756155456 is the 7818616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61130756155456

61130756155456 is an abundant number, since it is smaller than the sum of its proper divisors (70306824440155).

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

61130756155456 is an frugal number, since it uses more digits than its factorization.

61130756155456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11630 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 55.

The spelling of 61130756155456 in words is "sixty-one trillion, one hundred thirty billion, seven hundred fifty-six million, one hundred fifty-five thousand, four hundred fifty-six".