61914154498560 has 2400 divisors, whose sum is σ = 281654806344912. Its totient is φ = 12882251612160.

The previous prime is 61914154498549. The next prime is 61914154498613. The reversal of 61914154498560 is 6589445141916.

61914154498560 is a `hidden beast` number, since 6 + 1 + 9 + 1 + 4 + 1 + 544 + 9 + 85 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11111928903936 + 50802225594624 = 3333456^2 + 7127568^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9642444150 + ... + 9642450570.

Almost surely, 2^{61914154498560} is an apocalyptic number.

61914154498560 is a gapful number since it is divisible by the number (60) 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 61914154498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140827403172456).

61914154498560 is an abundant number, since it is smaller than the sum of its proper divisors (219740651846352).

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

61914154498560 is a wasteful number, since it uses less digits than its factorization.

61914154498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 61914154498560 in words is "sixty-one trillion, nine hundred fourteen billion, one hundred fifty-four million, four hundred ninety-eight thousand, five hundred sixty".