1681233797376 has 729 divisors, whose sum is σ = 6016536820749. Its totient is φ = 450104868864.

The previous prime is 1681233797363. The next prime is 1681233797407. The reversal of 1681233797376 is 6737973321861.

It is a happy number.

The square root of 1681233797376 is 1296624.

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

1681233797376 is a `hidden beast` number, since 1 + 6 + 8 + 123 + 379 + 73 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1308919046400 + 372314750976 = 1144080^2 + 610176^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 7406316175 + ... + 7406316401.

Almost surely, 2^{1681233797376} is an apocalyptic number.

1681233797376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1681233797376 is the 1296624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681233797376

1681233797376 is an abundant number, since it is smaller than the sum of its proper divisors (4335303023373).

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

1681233797376 is an equidigital number, since it uses as much as digits as its factorization.

1681233797376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 256 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 1681233797376 in words is "one trillion, six hundred eighty-one billion, two hundred thirty-three million, seven hundred ninety-seven thousand, three hundred seventy-six".