452890868601600 has 648 divisors, whose sum is σ = 1902261767423472. Its totient is φ = 101346206515200.

The previous prime is 452890868601547. The next prime is 452890868601601. The reversal of 452890868601600 is 6106868098254.

452890868601600 is a `hidden beast` number, since 4 + 528 + 90 + 8 + 6 + 8 + 6 + 0 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×452890868601600² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (452890868601601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19255119 + ... + 35728718.

Almost surely, 2^{452890868601600} is an apocalyptic number.

452890868601600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452890868601600 is an abundant number, since it is smaller than the sum of its proper divisors (1449370898821872).

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

452890868601600 is a wasteful number, since it uses less digits than its factorization.

452890868601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54983893 (or 54983871 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 452890868601600 in words is "four hundred fifty-two trillion, eight hundred ninety billion, eight hundred sixty-eight million, six hundred one thousand, six hundred".