10116833632 has 192 divisors, whose sum is σ = 22614681600. Its totient is φ = 4434186240.

The previous prime is 10116833593. The next prime is 10116833687. The reversal of 10116833632 is 23633861101.

It is a super-2 number, since 2×10116833632² (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 62066383 + ... + 62066545.

It is an arithmetic number, because the mean of its divisors is an integer number (117784800).

Almost surely, 2^10116833632 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 10116833632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307340800).

10116833632 is an abundant number, since it is smaller than the sum of its proper divisors (12497847968).

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

10116833632 is a wasteful number, since it uses less digits than its factorization.

10116833632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 10116833632 in words is "ten billion, one hundred sixteen million, eight hundred thirty-three thousand, six hundred thirty-two".