61498976466368 has 896 divisors, whose sum is σ = 161712628039680. Its totient is φ = 22596613079040.

The previous prime is 61498976466341. The next prime is 61498976466379. The reversal of 61498976466368 is 86366467989416.

It is a super-3 number, since 3×61498976466368³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56266217630 + ... + 56266218722.

Almost surely, 2^{61498976466368} 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 61498976466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80856314019840).

61498976466368 is an abundant number, since it is smaller than the sum of its proper divisors (100213651573312).

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

61498976466368 is a wasteful number, since it uses less digits than its factorization.

61498976466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1375 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 83.

The spelling of 61498976466368 in words is "sixty-one trillion, four hundred ninety-eight billion, nine hundred seventy-six million, four hundred sixty-six thousand, three hundred sixty-eight".