11792346930 has 320 divisors, whose sum is σ = 39312725760. Its totient is φ = 2469782016.

The previous prime is 11792346857. The next prime is 11792346931. The reversal of 11792346930 is 3964329711.

It is a super-2 number, since 2×11792346930² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11792346931) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11571961 + ... + 11572979.

It is an arithmetic number, because the mean of its divisors is an integer number (122852268).

Almost surely, 2^11792346930 is an apocalyptic number.

11792346930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11792346930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656362880).

11792346930 is an abundant number, since it is smaller than the sum of its proper divisors (27520378830).

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

11792346930 is a wasteful number, since it uses less digits than its factorization.

11792346930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 11792346930 in words is "eleven billion, seven hundred ninety-two million, three hundred forty-six thousand, nine hundred thirty".