18206933681664 has 1440 divisors, whose sum is σ = 71534031528960. Its totient is φ = 4401937612800.

The previous prime is 18206933681611. The next prime is 18206933681687. The reversal of 18206933681664 is 46618633960281.

18206933681664 is a `hidden beast` number, since 1 + 8 + 20 + 6 + 93 + 368 + 166 + 4 = 666.

It is a super-2 number, since 2×18206933681664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1728884079 + ... + 1728894609.

It is an arithmetic number, because the mean of its divisors is an integer number (49676410784).

Almost surely, 2^{18206933681664} is an apocalyptic number.

18206933681664 is a gapful number since it is divisible by the number (14) 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 18206933681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35767015764480).

18206933681664 is an abundant number, since it is smaller than the sum of its proper divisors (53327097847296).

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

18206933681664 is a wasteful number, since it uses less digits than its factorization.

18206933681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 18206933681664 in words is "eighteen trillion, two hundred six billion, nine hundred thirty-three million, six hundred eighty-one thousand, six hundred sixty-four".