1838942117776 has 45 divisors (see below), whose sum is σ = 3576908922769. Its totient is φ = 915882881792.

The previous prime is 1838942117759. The next prime is 1838942117797. The reversal of 1838942117776 is 6777112498381.

The square root of 1838942117776 is 1356076.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1720451955600 + 118490162176 = 1311660^2 + 344224^2 .

It is a super-2 number, since 2×1838942117776² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1882233000 + ... + 1882233976.

Almost surely, 2^{1838942117776} is an apocalyptic number.

1838942117776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1838942117776 is the 1356076-th square number.

It is an amenable number.

1838942117776 is a deficient number, since it is larger than the sum of its proper divisors (1737966804993).

1838942117776 is an frugal number, since it uses more digits than its factorization.

1838942117776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 1326 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 64.

Multiplying 1838942117776 by its sum of digits (64), we get a square (117692295537664 = 10848608²).

The spelling of 1838942117776 in words is "one trillion, eight hundred thirty-eight billion, nine hundred forty-two million, one hundred seventeen thousand, seven hundred seventy-six".