1822900097664 has 256 divisors, whose sum is σ = 5446036713600. Its totient is φ = 600209326080.

The previous prime is 1822900097639. The next prime is 1822900097731. The reversal of 1822900097664 is 4667900092281.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1822900097664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183366934 + ... + 183376874.

Almost surely, 2^{1822900097664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1822900097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723018356800).

1822900097664 is an abundant number, since it is smaller than the sum of its proper divisors (3623136615936).

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

1822900097664 is an equidigital number, since it uses as much as digits as its factorization.

1822900097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10608 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1822900097664 in words is "one trillion, eight hundred twenty-two billion, nine hundred million, ninety-seven thousand, six hundred sixty-four".