1822888345320 has 512 divisors, whose sum is σ = 6990015052800. Its totient is φ = 413929046016.

The previous prime is 1822888345303. The next prime is 1822888345373. The reversal of 1822888345320 is 235438882281.

1822888345320 is a `hidden beast` number, since 1 + 8 + 2 + 28 + 8 + 83 + 4 + 532 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 887913414 + ... + 887915466.

It is an arithmetic number, because the mean of its divisors is an integer number (13652373150).

Almost surely, 2^{1822888345320} is an apocalyptic number.

1822888345320 is a gapful number since it is divisible by the number (10) 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 1822888345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495007526400).

1822888345320 is an abundant number, since it is smaller than the sum of its proper divisors (5167126707480).

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

1822888345320 is a wasteful number, since it uses less digits than its factorization.

1822888345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1822888345320 in words is "one trillion, eight hundred twenty-two billion, eight hundred eighty-eight million, three hundred forty-five thousand, three hundred twenty".