61504011465344 has 96 divisors (see below), whose sum is σ = 142535062306260. Its totient is φ = 26358298767360.

The previous prime is 61504011465301. The next prime is 61504011465359. The reversal of 61504011465344 is 44356411040516.

It can be written as a sum of positive squares in 2 ways, for example, as 53656797006400 + 7847214458944 = 7325080^2 + 2801288^2 .

It is a super-2 number, since 2×61504011465344² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61504011465295 and 61504011465304.

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, 442338554 + ... + 442477574.

Almost surely, 2^{61504011465344} is an apocalyptic number.

61504011465344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61504011465344 is an abundant number, since it is smaller than the sum of its proper divisors (81031050840916).

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

61504011465344 is a wasteful number, since it uses less digits than its factorization.

61504011465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209586 (or 209567 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 61504011465344 in words is "sixty-one trillion, five hundred four billion, eleven million, four hundred sixty-five thousand, three hundred forty-four".