114333257376 has 672 divisors, whose sum is σ = 391749317568. Its totient is φ = 32517365760.

The previous prime is 114333257371. The next prime is 114333257377. The reversal of 114333257376 is 673752333411.

114333257376 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 3 + 2 + 573 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (114333257371) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 345417531 + ... + 345417861.

It is an arithmetic number, because the mean of its divisors is an integer number (582960294).

Almost surely, 2^114333257376 is an apocalyptic number.

114333257376 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 114333257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195874658784).

114333257376 is an abundant number, since it is smaller than the sum of its proper divisors (277416060192).

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

114333257376 is a wasteful number, since it uses less digits than its factorization.

114333257376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The spelling of 114333257376 in words is "one hundred fourteen billion, three hundred thirty-three million, two hundred fifty-seven thousand, three hundred seventy-six".