1882457074368 has 448 divisors, whose sum is σ = 6010342665600. Its totient is φ = 574324162560.

The previous prime is 1882457074357. The next prime is 1882457074397. The reversal of 1882457074368 is 8634707542881.

It is a happy number.

1882457074368 is a `hidden beast` number, since 1 + 8 + 8 + 24 + 570 + 7 + 4 + 36 + 8 = 666.

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, 2655087198 + ... + 2655087906.

It is an arithmetic number, because the mean of its divisors is an integer number (13415943450).

Almost surely, 2^{1882457074368} is an apocalyptic number.

1882457074368 is a gapful number since it is divisible by the number (18) 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 1882457074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005171332800).

1882457074368 is an abundant number, since it is smaller than the sum of its proper divisors (4127885591232).

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

1882457074368 is a wasteful number, since it uses less digits than its factorization.

1882457074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 1882457074368 in words is "one trillion, eight hundred eighty-two billion, four hundred fifty-seven million, seventy-four thousand, three hundred sixty-eight".