114855914250 has 960 divisors, whose sum is σ = 432266440320. Its totient is φ = 22425984000.

The previous prime is 114855914231. The next prime is 114855914273. The reversal of 114855914250 is 52419558411.

114855914250 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 591 + 4 + 2 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114855914196 and 114855914205.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 185550441 + ... + 185551059.

It is an arithmetic number, because the mean of its divisors is an integer number (450277542).

Almost surely, 2^114855914250 is an apocalyptic number.

114855914250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114855914250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216133220160).

114855914250 is an abundant number, since it is smaller than the sum of its proper divisors (317410526070).

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

114855914250 is a wasteful number, since it uses less digits than its factorization.

114855914250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 114855914250 in words is "one hundred fourteen billion, eight hundred fifty-five million, nine hundred fourteen thousand, two hundred fifty".