431064614456046 has 96 divisors (see below), whose sum is σ = 976046999735808. Its totient is φ = 137357782974720.

The previous prime is 431064614456039. The next prime is 431064614456111. The reversal of 431064614456046 is 640654416460134.

431064614456046 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 64 + 6 + 14 + 4 + 560 + 4 + 6 = 666.

It is a super-2 number, since 2×431064614456046² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431064614455983 and 431064614456001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2631393481 + ... + 2631557291.

It is an arithmetic number, because the mean of its divisors is an integer number (10167156247248).

Almost surely, 2^{431064614456046} is an apocalyptic number.

431064614456046 is an abundant number, since it is smaller than the sum of its proper divisors (544982385279762).

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

431064614456046 is a wasteful number, since it uses less digits than its factorization.

431064614456046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236246 (or 236243 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 431064614456046 in words is "four hundred thirty-one trillion, sixty-four billion, six hundred fourteen million, four hundred fifty-six thousand, forty-six".