791541164232 has 768 divisors, whose sum is σ = 2787830784000. Its totient is φ = 203702833152.

The previous prime is 791541164189. The next prime is 791541164261. The reversal of 791541164232 is 232461145197.

791541164232 is a `hidden beast` number, since 7 + 91 + 541 + 16 + 4 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×791541164232² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2281098283 + ... + 2281098629.

It is an arithmetic number, because the mean of its divisors is an integer number (3629988000).

Almost surely, 2^791541164232 is an apocalyptic number.

791541164232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791541164232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393915392000).

791541164232 is an abundant number, since it is smaller than the sum of its proper divisors (1996289619768).

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

791541164232 is a wasteful number, since it uses less digits than its factorization.

791541164232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 791541164232 in words is "seven hundred ninety-one billion, five hundred forty-one million, one hundred sixty-four thousand, two hundred thirty-two".