452006451312960 has 448 divisors, whose sum is σ = 1508507537817600. Its totient is φ = 114518739763200.

The previous prime is 452006451312917. The next prime is 452006451312979. The reversal of 452006451312960 is 69213154600254.

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

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, 1336025101 + ... + 1336363379.

Almost surely, 2^{452006451312960} is an apocalyptic number.

452006451312960 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 452006451312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754253768908800).

452006451312960 is an abundant number, since it is smaller than the sum of its proper divisors (1056501086504640).

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

452006451312960 is a wasteful number, since it uses less digits than its factorization.

452006451312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339150 (or 339140 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 452006451312960 in words is "four hundred fifty-two trillion, six billion, four hundred fifty-one million, three hundred twelve thousand, nine hundred sixty".