454691364864 has 224 divisors, whose sum is σ = 1332420739776. Its totient is φ = 136768389120.

The previous prime is 454691364857. The next prime is 454691364887. The reversal of 454691364864 is 468463196454.

It is a junction number, because it is equal to n+sod(n) for n = 454691364798 and 454691364807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37029894 + ... + 37042170.

It is an arithmetic number, because the mean of its divisors is an integer number (5948306874).

Almost surely, 2^454691364864 is an apocalyptic number.

454691364864 is a gapful number since it is divisible by the number (44) 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 454691364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666210369888).

454691364864 is an abundant number, since it is smaller than the sum of its proper divisors (877729374912).

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

454691364864 is a wasteful number, since it uses less digits than its factorization.

454691364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454 (or 12430 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 60.

The spelling of 454691364864 in words is "four hundred fifty-four billion, six hundred ninety-one million, three hundred sixty-four thousand, eight hundred sixty-four".