130991246961696 has 336 divisors, whose sum is σ = 423308578337568. Its totient is φ = 39553034572800.

The previous prime is 130991246961689. The next prime is 130991246961761. The reversal of 130991246961696 is 696169642199031.

130991246961696 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 12 + 469 + 61 + 6 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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 55 ways as a sum of consecutive naturals, for example, 71198535 + ... + 73015161.

It is an arithmetic number, because the mean of its divisors is an integer number (1259846959338).

Almost surely, 2^{130991246961696} is an apocalyptic number.

130991246961696 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 130991246961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211654289168784).

130991246961696 is an abundant number, since it is smaller than the sum of its proper divisors (292317331375872).

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

130991246961696 is a wasteful number, since it uses less digits than its factorization.

130991246961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816947 (or 1816924 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 130991246961696 in words is "one hundred thirty trillion, nine hundred ninety-one billion, two hundred forty-six million, nine hundred sixty-one thousand, six hundred ninety-six".