454172866560 has 768 divisors, whose sum is σ = 1884711628800. Its totient is φ = 101581848576.

The previous prime is 454172866529. The next prime is 454172866573. The reversal of 454172866560 is 65668271454.

454172866560 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 72 + 8 + 6 + 6 + 560 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 454172866497 and 454172866506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90959424 + ... + 90964416.

It is an arithmetic number, because the mean of its divisors is an integer number (2454051600).

Almost surely, 2^454172866560 is an apocalyptic number.

454172866560 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 454172866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942355814400).

454172866560 is an abundant number, since it is smaller than the sum of its proper divisors (1430538762240).

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

454172866560 is a wasteful number, since it uses less digits than its factorization.

454172866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 454172866560 in words is "four hundred fifty-four billion, one hundred seventy-two million, eight hundred sixty-six thousand, five hundred sixty".