203829116064 has 96 divisors (see below), whose sum is σ = 613761079680. Its totient is φ = 58020344832.

The previous prime is 203829116027. The next prime is 203829116093. The reversal of 203829116064 is 460611928302.

203829116064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383019 + ... + 744554.

It is an arithmetic number, because the mean of its divisors is an integer number (6393344580).

Almost surely, 2^203829116064 is an apocalyptic number.

203829116064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203829116064 is an abundant number, since it is smaller than the sum of its proper divisors (409931963616).

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

203829116064 is a wasteful number, since it uses less digits than its factorization.

203829116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127862 (or 1127854 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 203829116064 in words is "two hundred three billion, eight hundred twenty-nine million, one hundred sixteen thousand, sixty-four".