455993674752 has 704 divisors, whose sum is σ = 1567165906944. Its totient is φ = 114449448960.

The previous prime is 455993674657. The next prime is 455993674757. The reversal of 455993674752 is 257476399554.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (455993674757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291766608 + ... + 1291766960.

It is an arithmetic number, because the mean of its divisors is an integer number (2226087936).

Almost surely, 2^455993674752 is an apocalyptic number.

455993674752 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 455993674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783582953472).

455993674752 is an abundant number, since it is smaller than the sum of its proper divisors (1111172232192).

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

455993674752 is a wasteful number, since it uses less digits than its factorization.

455993674752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 66.

The spelling of 455993674752 in words is "four hundred fifty-five billion, nine hundred ninety-three million, six hundred seventy-four thousand, seven hundred fifty-two".