61164833871744 has 320 divisors, whose sum is σ = 186528993346080. Its totient is φ = 19884198297600.

The previous prime is 61164833871719. The next prime is 61164833871767. The reversal of 61164833871744 is 44717833846116.

It is a happy number.

61164833871744 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 4 + 83 + 387 + 174 + 4 = 666.

It is a super-2 number, since 2×61164833871744² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1326676597 + ... + 1326722699.

Almost surely, 2^{61164833871744} is an apocalyptic number.

61164833871744 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 61164833871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93264496673040).

61164833871744 is an abundant number, since it is smaller than the sum of its proper divisors (125364159474336).

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

61164833871744 is a wasteful number, since it uses less digits than its factorization.

61164833871744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49291 (or 49270 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 61164833871744 in words is "sixty-one trillion, one hundred sixty-four billion, eight hundred thirty-three million, eight hundred seventy-one thousand, seven hundred forty-four".