18364948217856 has 680 divisors, whose sum is σ = 57581734235520. Its totient is φ = 5846031138816.

The previous prime is 18364948217839. The next prime is 18364948217893. The reversal of 18364948217856 is 65871284946381.

18364948217856 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 494 + 82 + 1 + 7 + 8 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29668736715 + ... + 29668737333.

Almost surely, 2^{18364948217856} is an apocalyptic number.

18364948217856 is a gapful number since it is divisible by the number (16) 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 18364948217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28790867117760).

18364948217856 is an abundant number, since it is smaller than the sum of its proper divisors (39216786017664).

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

18364948217856 is an frugal number, since it uses more digits than its factorization.

18364948217856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 647 counting only the distinct ones).

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

The spelling of 18364948217856 in words is "eighteen trillion, three hundred sixty-four billion, nine hundred forty-eight million, two hundred seventeen thousand, eight hundred fifty-six".