114204214640 has 80 divisors (see below), whose sum is σ = 270446618880. Its totient is φ = 44838082560.

The previous prime is 114204214627. The next prime is 114204214721. The reversal of 114204214640 is 46412402411.

114204214640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313092 + ... + 2361948.

It is an arithmetic number, because the mean of its divisors is an integer number (3380582736).

Almost surely, 2^114204214640 is an apocalyptic number.

114204214640 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 114204214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135223309440).

114204214640 is an abundant number, since it is smaller than the sum of its proper divisors (156242404240).

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

114204214640 is a wasteful number, since it uses less digits than its factorization.

114204214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49410 (or 49404 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 114204214640 in words is "one hundred fourteen billion, two hundred four million, two hundred fourteen thousand, six hundred forty".