454659222528 has 704 divisors, whose sum is σ = 1577126707200. Its totient is φ = 126718525440.

The previous prime is 454659222473. The next prime is 454659222529. The reversal of 454659222528 is 825222956454.

454659222528 is a `hidden beast` number, since 4 + 5 + 4 + 6 + 5 + 92 + 22 + 528 = 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 (454659222529) 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, 2002903951 + ... + 2002904177.

It is an arithmetic number, because the mean of its divisors is an integer number (2240236800).

Almost surely, 2^454659222528 is an apocalyptic number.

454659222528 is a gapful number since it is divisible by the number (48) 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 454659222528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788563353600).

454659222528 is an abundant number, since it is smaller than the sum of its proper divisors (1122467484672).

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

454659222528 is a wasteful number, since it uses less digits than its factorization.

454659222528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 454659222528 in words is "four hundred fifty-four billion, six hundred fifty-nine million, two hundred twenty-two thousand, five hundred twenty-eight".