18211610694816 has 2880 divisors, whose sum is σ = 73088689766400. Its totient is φ = 4436033817600.

The previous prime is 18211610694791. The next prime is 18211610694887. The reversal of 18211610694816 is 61849601611281.

18211610694816 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 1 + 610 + 6 + 9 + 4 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 143398509345 + ... + 143398509471.

It is an arithmetic number, because the mean of its divisors is an integer number (25378017280).

Almost surely, 2^{18211610694816} is an apocalyptic number.

18211610694816 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 18211610694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36544344883200).

18211610694816 is an abundant number, since it is smaller than the sum of its proper divisors (54877079071584).

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

18211610694816 is a wasteful number, since it uses less digits than its factorization.

18211610694816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 18211610694816 in words is "eighteen trillion, two hundred eleven billion, six hundred ten million, six hundred ninety-four thousand, eight hundred sixteen".