18944937854208 has 432 divisors, whose sum is σ = 55841306713920. Its totient is φ = 6176069222400.

The previous prime is 18944937854203. The next prime is 18944937854237. The reversal of 18944937854208 is 80245873944981.

It is a happy number.

18944937854208 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 4 + 9 + 3 + 78 + 542 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18944937854203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7485157903 + ... + 7485160433.

It is an arithmetic number, because the mean of its divisors is an integer number (129262284060).

Almost surely, 2^{18944937854208} is an apocalyptic number.

18944937854208 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 18944937854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27920653356960).

18944937854208 is an abundant number, since it is smaller than the sum of its proper divisors (36896368859712).

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

18944937854208 is a wasteful number, since it uses less digits than its factorization.

18944937854208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 18944937854208 in words is "eighteen trillion, nine hundred forty-four billion, nine hundred thirty-seven million, eight hundred fifty-four thousand, two hundred eight".