114073935360 has 640 divisors, whose sum is σ = 474490773504. Its totient is φ = 22670376960.

The previous prime is 114073935341. The next prime is 114073935361. The reversal of 114073935360 is 63539370411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114073935361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13597087 + ... + 13605473.

Almost surely, 2^114073935360 is an apocalyptic number.

114073935360 is a gapful number since it is divisible by the number (10) 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 114073935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237245386752).

114073935360 is an abundant number, since it is smaller than the sum of its proper divisors (360416838144).

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

114073935360 is a wasteful number, since it uses less digits than its factorization.

114073935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 114073935360 in words is "one hundred fourteen billion, seventy-three million, nine hundred thirty-five thousand, three hundred sixty".