1797191738496 has 1152 divisors, whose sum is σ = 6950182112640. Its totient is φ = 431541780480.

The previous prime is 1797191738483. The next prime is 1797191738521. The reversal of 1797191738496 is 6948371917971.

1797191738496 is a `hidden beast` number, since 1 + 7 + 9 + 71 + 91 + 7 + 384 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10388391466 + ... + 10388391638.

It is an arithmetic number, because the mean of its divisors is an integer number (6033144195).

Almost surely, 2^{1797191738496} is an apocalyptic number.

1797191738496 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 1797191738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475091056320).

1797191738496 is an abundant number, since it is smaller than the sum of its proper divisors (5152990374144).

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

1797191738496 is a wasteful number, since it uses less digits than its factorization.

1797191738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 296 counting only the distinct ones).

The product of its digits is 144027072, while the sum is 72.

The spelling of 1797191738496 in words is "one trillion, seven hundred ninety-seven billion, one hundred ninety-one million, seven hundred thirty-eight thousand, four hundred ninety-six".