453968919360 has 1120 divisors, whose sum is σ = 1892303690112. Its totient is φ = 102080839680.

The previous prime is 453968919337. The next prime is 453968919373. The reversal of 453968919360 is 63919869354.

453968919360 is a `hidden beast` number, since 4 + 539 + 6 + 8 + 9 + 1 + 93 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 353833279 + ... + 353834561.

Almost surely, 2^453968919360 is an apocalyptic number.

453968919360 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 453968919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946151845056).

453968919360 is an abundant number, since it is smaller than the sum of its proper divisors (1438334770752).

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

453968919360 is a wasteful number, since it uses less digits than its factorization.

453968919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 453968919360 in words is "four hundred fifty-three billion, nine hundred sixty-eight million, nine hundred nineteen thousand, three hundred sixty".