83694888313344 has 320 divisors, whose sum is σ = 308873996513280. Its totient is φ = 21738931752960.

The previous prime is 83694888313327. The next prime is 83694888313357. The reversal of 83694888313344 is 44331388849638.

83694888313344 is a `hidden beast` number, since 8 + 3 + 6 + 9 + 488 + 8 + 3 + 133 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38249304 + ... + 40378199.

It is an arithmetic number, because the mean of its divisors is an integer number (965231239104).

Almost surely, 2^{83694888313344} is an apocalyptic number.

83694888313344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83694888313344 is an abundant number, since it is smaller than the sum of its proper divisors (225179108199936).

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

83694888313344 is a wasteful number, since it uses less digits than its factorization.

83694888313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78627548 (or 78627526 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 72.

The spelling of 83694888313344 in words is "eighty-three trillion, six hundred ninety-four billion, eight hundred eighty-eight million, three hundred thirteen thousand, three hundred forty-four".