6101616197264 has 240 divisors, whose sum is σ = 14619151742976. Its totient is φ = 2455492838400.

The previous prime is 6101616197251. The next prime is 6101616197309. The reversal of 6101616197264 is 4627916161016.

It is a super-2 number, since 2×6101616197264² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335410409 + ... + 335428599.

Almost surely, 2^{6101616197264} 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 6101616197264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309575871488).

6101616197264 is an abundant number, since it is smaller than the sum of its proper divisors (8517535545712).

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

6101616197264 is a wasteful number, since it uses less digits than its factorization.

6101616197264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18654 (or 18641 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 6101616197264 in words is "six trillion, one hundred one billion, six hundred sixteen million, one hundred ninety-seven thousand, two hundred sixty-four".