114395573376 has 768 divisors, whose sum is σ = 413354592000. Its totient is φ = 30470307840.

The previous prime is 114395573359. The next prime is 114395573381. The reversal of 114395573376 is 673375593411.

It is a happy number.

114395573376 is a `hidden beast` number, since 1 + 1 + 4 + 39 + 5 + 573 + 37 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179335760 + ... + 1179335856.

It is an arithmetic number, because the mean of its divisors is an integer number (538222125).

Almost surely, 2^114395573376 is an apocalyptic number.

114395573376 is a gapful number since it is divisible by the number (16) 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 114395573376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206677296000).

114395573376 is an abundant number, since it is smaller than the sum of its proper divisors (298959018624).

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

114395573376 is an equidigital number, since it uses as much as digits as its factorization.

114395573376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 179 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The spelling of 114395573376 in words is "one hundred fourteen billion, three hundred ninety-five million, five hundred seventy-three thousand, three hundred seventy-six".