18094397106240 has 672 divisors, whose sum is σ = 76757444574720. Its totient is φ = 3809852817408.

The previous prime is 18094397106221. The next prime is 18094397106271. The reversal of 18094397106240 is 4260179349081.

18094397106240 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 4 + 3 + 9 + 7 + 1 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127562076 + ... + 127703844.

It is an arithmetic number, because the mean of its divisors is an integer number (114222387760).

Almost surely, 2^{18094397106240} is an apocalyptic number.

18094397106240 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 18094397106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378722287360).

18094397106240 is an abundant number, since it is smaller than the sum of its proper divisors (58663047468480).

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

18094397106240 is a wasteful number, since it uses less digits than its factorization.

18094397106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142299 (or 142286 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 18094397106240 in words is "eighteen trillion, ninety-four billion, three hundred ninety-seven million, one hundred six thousand, two hundred forty".