830113792992 has 336 divisors, whose sum is σ = 2680807570560. Its totient is φ = 250821100800.

The previous prime is 830113792987. The next prime is 830113793087. The reversal of 830113792992 is 299297311038.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92117767 + ... + 92126777.

It is an arithmetic number, because the mean of its divisors is an integer number (7978593960).

Almost surely, 2^830113792992 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 830113792992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340403785280).

830113792992 is an abundant number, since it is smaller than the sum of its proper divisors (1850693777568).

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

830113792992 is a wasteful number, since it uses less digits than its factorization.

830113792992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9409 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 830113792992 in words is "eight hundred thirty billion, one hundred thirteen million, seven hundred ninety-two thousand, nine hundred ninety-two".