61601254416 has 405 divisors, whose sum is σ = 196426847799. Its totient is φ = 18013072896.

The previous prime is 61601254411. The next prime is 61601254447. The reversal of 61601254416 is 61445210616.

The square root of 61601254416 is 248196.

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

61601254416 is a `hidden beast` number, since 6 + 1 + 601 + 2 + 5 + 4 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255872016 + 61345382400 = 15996^2 + 247680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61601254411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1432587291 + ... + 1432587333.

Almost surely, 2^61601254416 is an apocalyptic number.

61601254416 is the 248196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61601254416

61601254416 is an abundant number, since it is smaller than the sum of its proper divisors (134825593383).

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

61601254416 is a wasteful number, since it uses less digits than its factorization.

61601254416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 61601254416 by its sum of digits (36), we get a square (2217645158976 = 1489176²).

61601254416 divided by its sum of digits (36) gives a square (1711145956 = 41366²).

The spelling of 61601254416 in words is "sixty-one billion, six hundred one million, two hundred fifty-four thousand, four hundred sixteen".