114265831680 has 1728 divisors, whose sum is σ = 551976542208. Its totient is φ = 21857402880.

The previous prime is 114265831657. The next prime is 114265831703. The reversal of 114265831680 is 86138562411.

114265831680 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 6 + 583 + 1 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114265831657) and next prime (114265831703).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311350857 + ... + 311351223.

Almost surely, 2^114265831680 is an apocalyptic number.

114265831680 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 114265831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275988271104).

114265831680 is an abundant number, since it is smaller than the sum of its proper divisors (437710710528).

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

114265831680 is a wasteful number, since it uses less digits than its factorization.

114265831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 114265831680 in words is "one hundred fourteen billion, two hundred sixty-five million, eight hundred thirty-one thousand, six hundred eighty".