1882391605164 has 576 divisors, whose sum is σ = 5977206423552. Its totient is φ = 487760486400.

The previous prime is 1882391605139. The next prime is 1882391605183. The reversal of 1882391605164 is 4615061932881.

It is a happy number.

1882391605164 is a `hidden beast` number, since 1 + 8 + 8 + 23 + 9 + 1 + 605 + 1 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1882391605164.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3262376844 + ... + 3262377420.

Almost surely, 2^{1882391605164} is an apocalyptic number.

1882391605164 is a gapful number since it is divisible by the number (14) 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 1882391605164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988603211776).

1882391605164 is an abundant number, since it is smaller than the sum of its proper divisors (4094814818388).

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

1882391605164 is a wasteful number, since it uses less digits than its factorization.

1882391605164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1882391605164 in words is "one trillion, eight hundred eighty-two billion, three hundred ninety-one million, six hundred five thousand, one hundred sixty-four".