113085831779648 has 672 divisors, whose sum is σ = 307764367561728. Its totient is φ = 40680647884800.

The previous prime is 113085831779587. The next prime is 113085831779681. The reversal of 113085831779648 is 846977138580311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14201406515 + ... + 14201414477.

It is an arithmetic number, because the mean of its divisors is an integer number (457982689824).

Almost surely, 2^{113085831779648} 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 113085831779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153882183780864).

113085831779648 is an abundant number, since it is smaller than the sum of its proper divisors (194678535782080).

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

113085831779648 is a wasteful number, since it uses less digits than its factorization.

113085831779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 71.

The spelling of 113085831779648 in words is "one hundred thirteen trillion, eighty-five billion, eight hundred thirty-one million, seven hundred seventy-nine thousand, six hundred forty-eight".