114487296352 has 288 divisors, whose sum is σ = 281757256704. Its totient is φ = 45074534400.

The previous prime is 114487296349. The next prime is 114487296359. The reversal of 114487296352 is 253692784411.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 114487296352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114487296359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835673628 + ... + 835673764.

It is an arithmetic number, because the mean of its divisors is an integer number (978323808).

Almost surely, 2^114487296352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114487296352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140878628352).

114487296352 is an abundant number, since it is smaller than the sum of its proper divisors (167269960352).

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

114487296352 is a wasteful number, since it uses less digits than its factorization.

114487296352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 237 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 114487296352 in words is "one hundred fourteen billion, four hundred eighty-seven million, two hundred ninety-six thousand, three hundred fifty-two".