114045246720 has 216 divisors, whose sum is σ = 403762815456. Its totient is φ = 29704679424.

The previous prime is 114045246709. The next prime is 114045246743. The reversal of 114045246720 is 27642540411.

114045246720 is a `hidden beast` number, since 1 + 1 + 404 + 5 + 246 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380247 + ... + 610473.

Almost surely, 2^114045246720 is an apocalyptic number.

114045246720 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 114045246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201881407728).

114045246720 is an abundant number, since it is smaller than the sum of its proper divisors (289717568736).

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

114045246720 is a wasteful number, since it uses less digits than its factorization.

114045246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230297 (or 230280 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 114045246720 in words is "one hundred fourteen billion, forty-five million, two hundred forty-six thousand, seven hundred twenty".