61338468749184 has 96 divisors (see below), whose sum is σ = 192553999948440. Its totient is φ = 18587414768640.

The previous prime is 61338468749167. The next prime is 61338468749251. The reversal of 61338468749184 is 48194786483316.

61338468749184 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 8 + 468 + 74 + 91 + 8 + 4 = 666.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2420223627 + ... + 2420248970.

Almost surely, 2^{61338468749184} is an apocalyptic number.

61338468749184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61338468749184 is an abundant number, since it is smaller than the sum of its proper divisors (131215531199256).

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

61338468749184 is a wasteful number, since it uses less digits than its factorization.

61338468749184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840472628 (or 4840472613 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 61338468749184 in words is "sixty-one trillion, three hundred thirty-eight billion, four hundred sixty-eight million, seven hundred forty-nine thousand, one hundred eighty-four".