61714139756544 has 960 divisors, whose sum is σ = 207663281280000. Its totient is φ = 18090628300800.

The previous prime is 61714139756471. The next prime is 61714139756627. The reversal of 61714139756544 is 44565793141716.

61714139756544 is a `hidden beast` number, since 6 + 1 + 7 + 1 + 4 + 1 + 39 + 7 + 56 + 544 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25097249587 + ... + 25097252045.

It is an arithmetic number, because the mean of its divisors is an integer number (216315918000).

Almost surely, 2^{61714139756544} is an apocalyptic number.

61714139756544 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 61714139756544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103831640640000).

61714139756544 is an abundant number, since it is smaller than the sum of its proper divisors (145949141523456).

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

61714139756544 is an equidigital number, since it uses as much as digits as its factorization.

61714139756544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2506 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 61714139756544 in words is "sixty-one trillion, seven hundred fourteen billion, one hundred thirty-nine million, seven hundred fifty-six thousand, five hundred forty-four".