1821937936896 has 1280 divisors, whose sum is σ = 6969153945600. Its totient is φ = 456258355200.

The previous prime is 1821937936883. The next prime is 1821937936919. The reversal of 1821937936896 is 6986397391281.

1821937936896 is a `hidden beast` number, since 1 + 8 + 2 + 193 + 79 + 368 + 9 + 6 = 666.

It is a super-2 number, since 2×1821937936896² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 4757017921 + ... + 4757018303.

It is an arithmetic number, because the mean of its divisors is an integer number (5444651520).

Almost surely, 2^{1821937936896} is an apocalyptic number.

1821937936896 is a gapful number since it is divisible by the number (16) 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 1821937936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484576972800).

1821937936896 is an abundant number, since it is smaller than the sum of its proper divisors (5147216008704).

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

1821937936896 is a wasteful number, since it uses less digits than its factorization.

1821937936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 556 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 1821937936896 in words is "one trillion, eight hundred twenty-one billion, nine hundred thirty-seven million, nine hundred thirty-six thousand, eight hundred ninety-six".