18835083531264 has 1760 divisors, whose sum is σ = 72663056879616. Its totient is φ = 4187198914560.

The previous prime is 18835083531107. The next prime is 18835083531269. The reversal of 18835083531264 is 46213538053881.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18835083531269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 400746458089 + ... + 400746458135.

Almost surely, 2^{18835083531264} is an apocalyptic number.

18835083531264 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 18835083531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36331528439808).

18835083531264 is an abundant number, since it is smaller than the sum of its proper divisors (53827973348352).

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

18835083531264 is an equidigital number, since it uses as much as digits as its factorization.

18835083531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 18835083531264 in words is "eighteen trillion, eight hundred thirty-five billion, eighty-three million, five hundred thirty-one thousand, two hundred sixty-four".