114305563350 has 288 divisors, whose sum is σ = 355954940640. Its totient is φ = 26030592000.

The previous prime is 114305563349. The next prime is 114305563391. The reversal of 114305563350 is 53365503411.

114305563350 is a `hidden beast` number, since 1 + 1 + 43 + 0 + 5 + 563 + 3 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5300590 + ... + 5322110.

It is an arithmetic number, because the mean of its divisors is an integer number (1235954655).

Almost surely, 2^114305563350 is an apocalyptic number.

114305563350 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 114305563350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177977470320).

114305563350 is an abundant number, since it is smaller than the sum of its proper divisors (241649377290).

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

114305563350 is a wasteful number, since it uses less digits than its factorization.

114305563350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21616 (or 21608 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 114305563350 in words is "one hundred fourteen billion, three hundred five million, five hundred sixty-three thousand, three hundred fifty".