791124796954128 has 640 divisors, whose sum is σ = 2702748013056000. Its totient is φ = 197597087428608.

The previous prime is 791124796954091. The next prime is 791124796954157. The reversal of 791124796954128 is 821459697421197.

It is a super-2 number, since 2×791124796954128² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 791124796954128.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12049326676 + ... + 12049392332.

It is an arithmetic number, because the mean of its divisors is an integer number (4223043770400).

Almost surely, 2^{791124796954128} is an apocalyptic number.

791124796954128 is a gapful number since it is divisible by the number (78) 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 791124796954128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351374006528000).

791124796954128 is an abundant number, since it is smaller than the sum of its proper divisors (1911623216101872).

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

791124796954128 is a wasteful number, since it uses less digits than its factorization.

791124796954128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68684 (or 68664 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 75.

The spelling of 791124796954128 in words is "seven hundred ninety-one trillion, one hundred twenty-four billion, seven hundred ninety-six million, nine hundred fifty-four thousand, one hundred twenty-eight".