114140108047680 has 3024 divisors, whose sum is σ = 487913566533120. Its totient is φ = 24433643520000.

The previous prime is 114140108047657. The next prime is 114140108047697. The reversal of 114140108047680 is 86740801041411.

114140108047680 is a `hidden beast` number, since 1 + 1 + 4 + 14 + 0 + 10 + 80 + 476 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 184394358411 + ... + 184394359029.

It is an arithmetic number, because the mean of its divisors is an integer number (161347078880).

Almost surely, 2^{114140108047680} is an apocalyptic number.

114140108047680 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 114140108047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243956783266560).

114140108047680 is an abundant number, since it is smaller than the sum of its proper divisors (373773458485440).

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

114140108047680 is a wasteful number, since it uses less digits than its factorization.

114140108047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 114140108047680 in words is "one hundred fourteen trillion, one hundred forty billion, one hundred eight million, forty-seven thousand, six hundred eighty".