61514863899744 has 192 divisors, whose sum is σ = 171487243065600. Its totient is φ = 19253423112192.

The previous prime is 61514863899721. The next prime is 61514863899757. The reversal of 61514863899744 is 44799836841516.

It is a Smith number, since the sum of its digits (75) 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 31 ways as a sum of consecutive naturals, for example, 150142272 + ... + 150551424.

It is an arithmetic number, because the mean of its divisors is an integer number (893162724300).

Almost surely, 2^{61514863899744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61514863899744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85743621532800).

61514863899744 is an abundant number, since it is smaller than the sum of its proper divisors (109972379165856).

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

61514863899744 is a wasteful number, since it uses less digits than its factorization.

61514863899744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409917 (or 409909 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 75.

The spelling of 61514863899744 in words is "sixty-one trillion, five hundred fourteen billion, eight hundred sixty-three million, eight hundred ninety-nine thousand, seven hundred forty-four".