100363181450400 has 1728 divisors, whose sum is σ = 413443640413440. Its totient is φ = 22663618560000.

The previous prime is 100363181450341. The next prime is 100363181450417. The reversal of 100363181450400 is 4054181363001.

100363181450400 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 631 + 8 + 14 + 5 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61914361590 + ... + 61914363210.

It is an arithmetic number, because the mean of its divisors is an integer number (239261365980).

Almost surely, 2^{100363181450400} is an apocalyptic number.

100363181450400 is a gapful number since it is divisible by the number (10) 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 100363181450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206721820206720).

100363181450400 is an abundant number, since it is smaller than the sum of its proper divisors (313080458963040).

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

100363181450400 is a wasteful number, since it uses less digits than its factorization.

100363181450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 100363181450400 in words is "one hundred trillion, three hundred sixty-three billion, one hundred eighty-one million, four hundred fifty thousand, four hundred".