114833792735232 has 384 divisors, whose sum is σ = 333844699668480. Its totient is φ = 35001207521280.

The previous prime is 114833792735177. The next prime is 114833792735243. The reversal of 114833792735232 is 232537297338411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 285390507 + ... + 285792597.

It is an arithmetic number, because the mean of its divisors is an integer number (869387238720).

Almost surely, 2^{114833792735232} is an apocalyptic number.

114833792735232 is a gapful number since it is divisible by the number (12) 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 114833792735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166922349834240).

114833792735232 is an abundant number, since it is smaller than the sum of its proper divisors (219010906933248).

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

114833792735232 is a wasteful number, since it uses less digits than its factorization.

114833792735232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402229 (or 402209 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 60.

The spelling of 114833792735232 in words is "one hundred fourteen trillion, eight hundred thirty-three billion, seven hundred ninety-two million, seven hundred thirty-five thousand, two hundred thirty-two".