61442642103264 has 96 divisors (see below), whose sum is σ = 179276878126080. Its totient is φ = 20472975331200.

The previous prime is 61442642103251. The next prime is 61442642103277. The reversal of 61442642103264 is 46230124624416.

61442642103264 is a `hidden beast` number, since 6 + 1 + 4 + 426 + 4 + 210 + 3 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61442642103251) and next prime (61442642103277).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11484682 + ... + 15961929.

It is an arithmetic number, because the mean of its divisors is an integer number (1867467480480).

Almost surely, 2^{61442642103264} is an apocalyptic number.

It is an amenable number.

61442642103264 is an abundant number, since it is smaller than the sum of its proper divisors (117834236022816).

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

61442642103264 is a wasteful number, since it uses less digits than its factorization.

61442642103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27449221 (or 27449207 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 61442642103264 in words is "sixty-one trillion, four hundred forty-two billion, six hundred forty-two million, one hundred three thousand, two hundred sixty-four".