454153598976 has 768 divisors, whose sum is σ = 1576002355200. Its totient is φ = 112862822400.

The previous prime is 454153598963. The next prime is 454153599001. The reversal of 454153598976 is 679895351454.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2537170855 + ... + 2537171033.

It is an arithmetic number, because the mean of its divisors is an integer number (2052086400).

Almost surely, 2^454153598976 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 454153598976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788001177600).

454153598976 is an abundant number, since it is smaller than the sum of its proper divisors (1121848756224).

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

454153598976 is a wasteful number, since it uses less digits than its factorization.

454153598976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 66.

The spelling of 454153598976 in words is "four hundred fifty-four billion, one hundred fifty-three million, five hundred ninety-eight thousand, nine hundred seventy-six".