7393968427131 has 192 divisors, whose sum is σ = 13581653170176. Its totient is φ = 3806521344000.

The previous prime is 7393968427103. The next prime is 7393968427177. The reversal of 7393968427131 is 1317248693937.

It is a happy number.

7393968427131 is a `hidden beast` number, since 7 + 3 + 93 + 96 + 8 + 427 + 1 + 31 = 666.

It is not a de Polignac number, because 7393968427131 - 2¹¹ = 7393968425083 is a prime.

It is a super-2 number, since 2×7393968427131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7393968427331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1235000920 + ... + 1235006906.

It is an arithmetic number, because the mean of its divisors is an integer number (70737776928).

Almost surely, 2^{7393968427131} is an apocalyptic number.

7393968427131 is a deficient number, since it is larger than the sum of its proper divisors (6187684743045).

7393968427131 is a wasteful number, since it uses less digits than its factorization.

7393968427131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7279 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 7393968427131 in words is "seven trillion, three hundred ninety-three billion, nine hundred sixty-eight million, four hundred twenty-seven thousand, one hundred thirty-one".