456211310412 has 384 divisors, whose sum is σ = 1376941483008. Its totient is φ = 115406438400.

The previous prime is 456211310341. The next prime is 456211310459. The reversal of 456211310412 is 214013112654.

It is a self number, because there is not a number n which added to its sum of digits gives 456211310412.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80132638 + ... + 80138330.

It is an arithmetic number, because the mean of its divisors is an integer number (3585785112).

Almost surely, 2^456211310412 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 456211310412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688470741504).

456211310412 is an abundant number, since it is smaller than the sum of its proper divisors (920730172596).

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

456211310412 is a wasteful number, since it uses less digits than its factorization.

456211310412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 456211310412 in words is "four hundred fifty-six billion, two hundred eleven million, three hundred ten thousand, four hundred twelve".