18401168877696 has 640 divisors, whose sum is σ = 63443968061760. Its totient is φ = 5232346398720.

The previous prime is 18401168877683. The next prime is 18401168877737. The reversal of 18401168877696 is 69677886110481.

18401168877696 is a `hidden beast` number, since 1 + 8 + 401 + 1 + 68 + 8 + 7 + 76 + 96 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 653366911 + ... + 653395073.

Almost surely, 2^{18401168877696} is an apocalyptic number.

18401168877696 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 18401168877696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721984030880).

18401168877696 is an abundant number, since it is smaller than the sum of its proper divisors (45042799184064).

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

18401168877696 is a wasteful number, since it uses less digits than its factorization.

18401168877696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28554 (or 28533 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 18401168877696 in words is "eighteen trillion, four hundred one billion, one hundred sixty-eight million, eight hundred seventy-seven thousand, six hundred ninety-six".