1789938948996 has 405 divisors, whose sum is σ = 5349743381983. Its totient is φ = 521454447360.

The previous prime is 1789938948983. The next prime is 1789938949003. The reversal of 1789938948996 is 6998498399871.

The square root of 1789938948996 is 1337886.

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

1789938948996 is a `hidden beast` number, since 1 + 7 + 8 + 9 + 9 + 38 + 9 + 489 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149838668100 + 1640100280896 = 387090^2 + 1280664^2 .

It is a super-2 number, since 2×1789938948996² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7682141296 + ... + 7682141528.

Almost surely, 2^{1789938948996} is an apocalyptic number.

1789938948996 is the 1337886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1789938948996

1789938948996 is an abundant number, since it is smaller than the sum of its proper divisors (3559804432987).

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

1789938948996 is a wasteful number, since it uses less digits than its factorization.

1789938948996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 278 counting only the distinct ones).

The product of its digits is 15237476352, while the sum is 90.

The spelling of 1789938948996 in words is "one trillion, seven hundred eighty-nine billion, nine hundred thirty-eight million, nine hundred forty-eight thousand, nine hundred ninety-six".