114820957192320 has 1024 divisors, whose sum is σ = 433010817792000. Its totient is φ = 28672911360000.

The previous prime is 114820957192273. The next prime is 114820957192327. The reversal of 114820957192320 is 23291759028411.

114820957192320 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 20 + 9 + 571 + 9 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (114820957192327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22913778615 + ... + 22913783625.

It is an arithmetic number, because the mean of its divisors is an integer number (422862126750).

Almost surely, 2^{114820957192320} is an apocalyptic number.

114820957192320 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 114820957192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216505408896000).

114820957192320 is an abundant number, since it is smaller than the sum of its proper divisors (318189860599680).

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

114820957192320 is a wasteful number, since it uses less digits than its factorization.

114820957192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 114820957192320 in words is "one hundred fourteen trillion, eight hundred twenty billion, nine hundred fifty-seven million, one hundred ninety-two thousand, three hundred twenty".