793481167245312 has 6240 divisors, whose sum is σ = 3323781730418688. Its totient is φ = 186082318614528.

The previous prime is 793481167245311. The next prime is 793481167245383. The reversal of 793481167245312 is 213542761184397.

It is a happy number.

793481167245312 is a `hidden beast` number, since 7 + 9 + 3 + 4 + 8 + 1 + 167 + 2 + 453 + 12 = 666.

It is a super-2 number, since 2×793481167245312² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 793481167245312.

It is not an unprimeable number, because it can be changed into a prime (793481167245311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6247883206593 + ... + 6247883206719.

Almost surely, 2^{793481167245312} is an apocalyptic number.

793481167245312 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 793481167245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661890865209344).

793481167245312 is an abundant number, since it is smaller than the sum of its proper divisors (2530300563173376).

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

793481167245312 is a wasteful number, since it uses less digits than its factorization.

793481167245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 253 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 793481167245312 in words is "seven hundred ninety-three trillion, four hundred eighty-one billion, one hundred sixty-seven million, two hundred forty-five thousand, three hundred twelve".