814419259431 has 32 divisors (see below), whose sum is σ = 1184722080000. Its totient is φ = 495683048448.

The previous prime is 814419259429. The next prime is 814419259441. The reversal of 814419259431 is 134952914418.

It is not a de Polignac number, because 814419259431 - 2¹ = 814419259429 is a prime.

It is a super-2 number, since 2×814419259431² (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 (814419259441) 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 31 ways as a sum of consecutive naturals, for example, 393495 + ... + 1335543.

It is an arithmetic number, because the mean of its divisors is an integer number (37022565000).

Almost surely, 2^814419259431 is an apocalyptic number.

814419259431 is a deficient number, since it is larger than the sum of its proper divisors (370302820569).

814419259431 is a wasteful number, since it uses less digits than its factorization.

814419259431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942623.

The product of its digits is 1244160, while the sum is 51.

The spelling of 814419259431 in words is "eight hundred fourteen billion, four hundred nineteen million, two hundred fifty-nine thousand, four hundred thirty-one".