114096270288 has 720 divisors, whose sum is σ = 417405659328. Its totient is φ = 26398310400.

The previous prime is 114096270259. The next prime is 114096270317. The reversal of 114096270288 is 882072690411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114096270259) and next prime (114096270317).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 323218720 + ... + 323219072.

Almost surely, 2^114096270288 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 114096270288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208702829664).

114096270288 is an abundant number, since it is smaller than the sum of its proper divisors (303309389040).

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

114096270288 is a wasteful number, since it uses less digits than its factorization.

114096270288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 114096270288 in words is "one hundred fourteen billion, ninety-six million, two hundred seventy thousand, two hundred eighty-eight".