456453383232 has 336 divisors, whose sum is σ = 1534999256640. Its totient is φ = 118373068800.

The previous prime is 456453383213. The next prime is 456453383249. The reversal of 456453383232 is 232383354654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 73369882 + ... + 73376102.

Almost surely, 2^456453383232 is an apocalyptic number.

456453383232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456453383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767499628320).

456453383232 is an abundant number, since it is smaller than the sum of its proper divisors (1078545873408).

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

456453383232 is a wasteful number, since it uses less digits than its factorization.

456453383232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6953 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 48.

The spelling of 456453383232 in words is "four hundred fifty-six billion, four hundred fifty-three million, three hundred eighty-three thousand, two hundred thirty-two".