114932808273920 has 832 divisors, whose sum is σ = 355350396764160. Its totient is φ = 34703946547200.

The previous prime is 114932808273917. The next prime is 114932808273937. The reversal of 114932808273920 is 29372808239411.

It is a tau number, because it is divible by the number of its divisors (832).

It is a self number, because there is not a number n which added to its sum of digits gives 114932808273920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4101945671 + ... + 4101973689.

Almost surely, 2^{114932808273920} is an apocalyptic number.

114932808273920 is a gapful number since it is divisible by the number (10) 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 114932808273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177675198382080).

114932808273920 is an abundant number, since it is smaller than the sum of its proper divisors (240417588490240).

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

114932808273920 is a wasteful number, since it uses less digits than its factorization.

114932808273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28170 (or 28148 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 59.

The spelling of 114932808273920 in words is "one hundred fourteen trillion, nine hundred thirty-two billion, eight hundred eight million, two hundred seventy-three thousand, nine hundred twenty".