78563041372431 has 256 divisors, whose sum is σ = 155199181455360. Its totient is φ = 38063862144000.

The previous prime is 78563041372423. The next prime is 78563041372469. The reversal of 78563041372431 is 13427314036587.

78563041372431 is a `hidden beast` number, since 7 + 8 + 563 + 0 + 4 + 1 + 3 + 72 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 78563041372431 - 2³ = 78563041372423 is a prime.

It is a super-2 number, since 2×78563041372431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78563041372831) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3789630336 + ... + 3789651066.

It is an arithmetic number, because the mean of its divisors is an integer number (606246802560).

Almost surely, 2^{78563041372431} is an apocalyptic number.

78563041372431 is a deficient number, since it is larger than the sum of its proper divisors (76636140082929).

78563041372431 is a wasteful number, since it uses less digits than its factorization.

78563041372431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22755 (or 22749 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 78563041372431 in words is "seventy-eight trillion, five hundred sixty-three billion, forty-one million, three hundred seventy-two thousand, four hundred thirty-one".