10181546938368 has 936 divisors, whose sum is σ = 32699719653120. Its totient is φ = 3050215833600.

The previous prime is 10181546938331. The next prime is 10181546938391. The reversal of 10181546938368 is 86383964518101.

10181546938368 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 546 + 9 + 3 + 83 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67427463093 + ... + 67427463243.

It is an arithmetic number, because the mean of its divisors is an integer number (34935597920).

Almost surely, 2^{10181546938368} is an apocalyptic number.

10181546938368 is a gapful number since it is divisible by the number (18) 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 10181546938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349859826560).

10181546938368 is an abundant number, since it is smaller than the sum of its proper divisors (22518172714752).

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

10181546938368 is a wasteful number, since it uses less digits than its factorization.

10181546938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 10181546938368 in words is "ten trillion, one hundred eighty-one billion, five hundred forty-six million, nine hundred thirty-eight thousand, three hundred sixty-eight".