114969735408 has 320 divisors, whose sum is σ = 339746254848. Its totient is φ = 33196800000.

The previous prime is 114969735383. The next prime is 114969735443. The reversal of 114969735408 is 804537969411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201347763 + ... + 201348333.

Almost surely, 2^114969735408 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 114969735408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169873127424).

114969735408 is an abundant number, since it is smaller than the sum of its proper divisors (224776519440).

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

114969735408 is a wasteful number, since it uses less digits than its factorization.

114969735408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 114969735408 in words is "one hundred fourteen billion, nine hundred sixty-nine million, seven hundred thirty-five thousand, four hundred eight".