61653625460704 has 96 divisors (see below), whose sum is σ = 122780320266240. Its totient is φ = 30472438989312.

The previous prime is 61653625460641. The next prime is 61653625460759. The reversal of 61653625460704 is 40706452635616.

61653625460704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10195734609 + ... + 10195740655.

It is an arithmetic number, because the mean of its divisors is an integer number (1278961669440).

Almost surely, 2^{61653625460704} is an apocalyptic number.

It is an amenable number.

61653625460704 is a deficient number, since it is larger than the sum of its proper divisors (61126694805536).

61653625460704 is a wasteful number, since it uses less digits than its factorization.

61653625460704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 61653625460704 in words is "sixty-one trillion, six hundred fifty-three billion, six hundred twenty-five million, four hundred sixty thousand, seven hundred four".