1353041614431 has 192 divisors, whose sum is σ = 2279183961600. Its totient is φ = 771160725504.

The previous prime is 1353041614427. The next prime is 1353041614433. The reversal of 1353041614431 is 1344161403531.

1353041614431 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 4 + 1 + 614 + 4 + 31 = 666.

It is not a de Polignac number, because 1353041614431 - 2² = 1353041614427 is a prime.

It is a super-2 number, since 2×1353041614431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353041614433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3899255200 + ... + 3899255546.

It is an arithmetic number, because the mean of its divisors is an integer number (11870749800).

Almost surely, 2^{1353041614431} is an apocalyptic number.

1353041614431 is a deficient number, since it is larger than the sum of its proper divisors (926142347169).

1353041614431 is a wasteful number, since it uses less digits than its factorization.

1353041614431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1353041614431 in words is "one trillion, three hundred fifty-three billion, forty-one million, six hundred fourteen thousand, four hundred thirty-one".