454745349120 has 352 divisors, whose sum is σ = 1499307955200. Its totient is φ = 117576105984.

The previous prime is 454745349119. The next prime is 454745349173. The reversal of 454745349120 is 21943547454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 454745349120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78686391 + ... + 78692169.

It is an arithmetic number, because the mean of its divisors is an integer number (4259397600).

Almost surely, 2^454745349120 is an apocalyptic number.

454745349120 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 454745349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749653977600).

454745349120 is an abundant number, since it is smaller than the sum of its proper divisors (1044562606080).

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

454745349120 is a wasteful number, since it uses less digits than its factorization.

454745349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 454745349120 in words is "four hundred fifty-four billion, seven hundred forty-five million, three hundred forty-nine thousand, one hundred twenty".