114269276160 has 576 divisors, whose sum is σ = 430431805440. Its totient is φ = 27869184000.

The previous prime is 114269276141. The next prime is 114269276167. The reversal of 114269276160 is 61672962411.

114269276160 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 6 + 9 + 27 + 616 + 0 = 666.

114269276160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (114269276167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152155785 + ... + 152156535.

It is an arithmetic number, because the mean of its divisors is an integer number (747277440).

Almost surely, 2^114269276160 is an apocalyptic number.

114269276160 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 114269276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215215902720).

114269276160 is an abundant number, since it is smaller than the sum of its proper divisors (316162529280).

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

114269276160 is a wasteful number, since it uses less digits than its factorization.

114269276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 114269276160 in words is "one hundred fourteen billion, two hundred sixty-nine million, two hundred seventy-six thousand, one hundred sixty".