431264014863864 has 256 divisors, whose sum is σ = 1332380066734080. Its totient is φ = 113276544837120.

The previous prime is 431264014863827. The next prime is 431264014863881. The reversal of 431264014863864 is 468368410462134.

It is a junction number, because it is equal to n+sod(n) for n = 431264014863798 and 431264014863807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789664539 + ... + 790210485.

It is an arithmetic number, because the mean of its divisors is an integer number (5204609635680).

Almost surely, 2^{431264014863864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431264014863864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666190033367040).

431264014863864 is an abundant number, since it is smaller than the sum of its proper divisors (901116051870216).

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

431264014863864 is a wasteful number, since it uses less digits than its factorization.

431264014863864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547450 (or 547446 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 60.

The spelling of 431264014863864 in words is "four hundred thirty-one trillion, two hundred sixty-four billion, fourteen million, eight hundred sixty-three thousand, eight hundred sixty-four".