114383093760 has 1152 divisors, whose sum is σ = 471465081360. Its totient is φ = 26499612672.

The previous prime is 114383093753. The next prime is 114383093791. The reversal of 114383093760 is 67390383411.

114383093760 is a `hidden beast` number, since 114 + 383 + 0 + 93 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6728417272 + ... + 6728417288.

Almost surely, 2^114383093760 is an apocalyptic number.

114383093760 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 114383093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235732540680).

114383093760 is an abundant number, since it is smaller than the sum of its proper divisors (357081987600).

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

114383093760 is an frugal number, since it uses more digits than its factorization.

114383093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 114383093760 in words is "one hundred fourteen billion, three hundred eighty-three million, ninety-three thousand, seven hundred sixty".