456553635840 has 1120 divisors, whose sum is σ = 1772119489536. Its totient is φ = 112113745920.

The previous prime is 456553635827. The next prime is 456553635841. The reversal of 456553635840 is 48536355654.

456553635840 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 53 + 6 + 3 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (456553635841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2365562784 + ... + 2365562976.

Almost surely, 2^456553635840 is an apocalyptic number.

456553635840 is a gapful number since it is divisible by the number (40) 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 456553635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886059744768).

456553635840 is an abundant number, since it is smaller than the sum of its proper divisors (1315565853696).

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

456553635840 is a wasteful number, since it uses less digits than its factorization.

456553635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 456553635840 in words is "four hundred fifty-six billion, five hundred fifty-three million, six hundred thirty-five thousand, eight hundred forty".