456833149696 has 864 divisors, whose sum is σ = 1287491072000. Its totient is φ = 160944537600.

The previous prime is 456833149687. The next prime is 456833149783. The reversal of 456833149696 is 696941338654.

It is a super-2 number, since 2×456833149696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6257988316 + ... + 6257988388.

Almost surely, 2^456833149696 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 456833149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643745536000).

456833149696 is an abundant number, since it is smaller than the sum of its proper divisors (830657922304).

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

456833149696 is a wasteful number, since it uses less digits than its factorization.

456833149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 64.

The spelling of 456833149696 in words is "four hundred fifty-six billion, eight hundred thirty-three million, one hundred forty-nine thousand, six hundred ninety-six".