114072705096 has 128 divisors (see below), whose sum is σ = 348196992000. Its totient is φ = 30415917312.

The previous prime is 114072705083. The next prime is 114072705119. The reversal of 114072705096 is 690507270411.

It is a happy number.

It is a super-3 number, since 3×114072705096³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52831 + ... + 480558.

It is an arithmetic number, because the mean of its divisors is an integer number (2720289000).

Almost surely, 2^114072705096 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 114072705096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174098496000).

114072705096 is an abundant number, since it is smaller than the sum of its proper divisors (234124286904).

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

114072705096 is a wasteful number, since it uses less digits than its factorization.

114072705096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533491 (or 533487 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 114072705096 in words is "one hundred fourteen billion, seventy-two million, seven hundred five thousand, ninety-six".