61442462443968 has 224 divisors, whose sum is σ = 194390052793920. Its totient is φ = 18960065003520.

The previous prime is 61442462443937. The next prime is 61442462443981. The reversal of 61442462443968 is 86934426424416.

61442462443968 is a `hidden beast` number, since 6 + 1 + 4 + 42 + 4 + 62 + 443 + 96 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15352221 + ... + 18936092.

Almost surely, 2^{61442462443968} is an apocalyptic number.

61442462443968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

61442462443968 is an abundant number, since it is smaller than the sum of its proper divisors (132947590349952).

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

61442462443968 is a wasteful number, since it uses less digits than its factorization.

61442462443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34288412 (or 34288396 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 61442462443968 in words is "sixty-one trillion, four hundred forty-two billion, four hundred sixty-two million, four hundred forty-three thousand, nine hundred sixty-eight".