456261746512 has 200 divisors, whose sum is σ = 1053860361120. Its totient is φ = 189770181120.

The previous prime is 456261746509. The next prime is 456261746531. The reversal of 456261746512 is 215647162654.

It is a super-2 number, since 2×456261746512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 698715978 + ... + 698716630.

Almost surely, 2^456261746512 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 456261746512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526930180560).

456261746512 is an abundant number, since it is smaller than the sum of its proper divisors (597598614608).

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

456261746512 is a wasteful number, since it uses less digits than its factorization.

456261746512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 818 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

The spelling of 456261746512 in words is "four hundred fifty-six billion, two hundred sixty-one million, seven hundred forty-six thousand, five hundred twelve".