61731418788864 has 1848 divisors, whose sum is σ = 211965306725760. Its totient is φ = 17933819904000.

The previous prime is 61731418788859. The next prime is 61731418788881. The reversal of 61731418788864 is 46888781413716.

61731418788864 is a `hidden beast` number, since 6 + 1 + 7 + 3 + 1 + 418 + 78 + 88 + 64 = 666.

It is a super-2 number, since 2×61731418788864² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61731418788792 and 61731418788801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 292565965719 + ... + 292565965929.

Almost surely, 2^{61731418788864} is an apocalyptic number.

61731418788864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61731418788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105982653362880).

61731418788864 is an abundant number, since it is smaller than the sum of its proper divisors (150233887936896).

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

61731418788864 is a wasteful number, since it uses less digits than its factorization.

61731418788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 347 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 61731418788864 in words is "sixty-one trillion, seven hundred thirty-one billion, four hundred eighteen million, seven hundred eighty-eight thousand, eight hundred sixty-four".