61577558624164 has 48 divisors (see below), whose sum is σ = 122304830570496. Its totient is φ = 26873619847200.

The previous prime is 61577558624111. The next prime is 61577558624167. The reversal of 61577558624164 is 46142685577516.

It is a happy number.

It is a super-2 number, since 2×61577558624164² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61577558624164.

It is not an unprimeable number, because it can be changed into a prime (61577558624167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177562354 + ... + 177908809.

It is an arithmetic number, because the mean of its divisors is an integer number (2548017303552).

Almost surely, 2^{61577558624164} is an apocalyptic number.

It is an amenable number.

61577558624164 is a deficient number, since it is larger than the sum of its proper divisors (60727271946332).

61577558624164 is a wasteful number, since it uses less digits than its factorization.

61577558624164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355471336 (or 355471334 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 67.

The spelling of 61577558624164 in words is "sixty-one trillion, five hundred seventy-seven billion, five hundred fifty-eight million, six hundred twenty-four thousand, one hundred sixty-four".