18351854864640 has 2016 divisors, whose sum is σ = 74314836288000. Its totient is φ = 4301966868480.

The previous prime is 18351854864633. The next prime is 18351854864663. The reversal of 18351854864640 is 4646845815381.

18351854864640 is a `hidden beast` number, since 1 + 8 + 3 + 5 + 1 + 8 + 548 + 6 + 46 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 52584111186 + ... + 52584111534.

It is an arithmetic number, because the mean of its divisors is an integer number (36862518000).

Almost surely, 2^{18351854864640} is an apocalyptic number.

18351854864640 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 18351854864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37157418144000).

18351854864640 is an abundant number, since it is smaller than the sum of its proper divisors (55962981423360).

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

18351854864640 is a wasteful number, since it uses less digits than its factorization.

18351854864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 18351854864640 in words is "eighteen trillion, three hundred fifty-one billion, eight hundred fifty-four million, eight hundred sixty-four thousand, six hundred forty".