114656766000 has 240 divisors, whose sum is σ = 430006093920. Its totient is φ = 26207193600.

The previous prime is 114656765983. The next prime is 114656766001. The reversal of 114656766000 is 667656411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (114656766001) 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, 99006 + ... + 488994.

It is an arithmetic number, because the mean of its divisors is an integer number (1791692058).

Almost surely, 2^114656766000 is an apocalyptic number.

114656766000 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 114656766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215003046960).

114656766000 is an abundant number, since it is smaller than the sum of its proper divisors (315349327920).

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

114656766000 is a wasteful number, since it uses less digits than its factorization.

114656766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390029 (or 390006 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 114656766000 in words is "one hundred fourteen billion, six hundred fifty-six million, seven hundred sixty-six thousand".