454795154472960 has 1920 divisors, whose sum is σ = 1868571843747840. Its totient is φ = 102803463733248.

The previous prime is 454795154472913. The next prime is 454795154473021. The reversal of 454795154472960 is 69274451597454.

It is a happy number.

454795154472960 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 9 + 5 + 1 + 544 + 72 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 774778797787 + ... + 774778798373.

It is an arithmetic number, because the mean of its divisors is an integer number (973214501952).

Almost surely, 2^{454795154472960} is an apocalyptic number.

454795154472960 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 454795154472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934285921873920).

454795154472960 is an abundant number, since it is smaller than the sum of its proper divisors (1413776689274880).

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

454795154472960 is a wasteful number, since it uses less digits than its factorization.

454795154472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 454795154472960 in words is "four hundred fifty-four trillion, seven hundred ninety-five billion, one hundred fifty-four million, four hundred seventy-two thousand, nine hundred sixty".