114064146000 has 640 divisors, whose sum is σ = 468805708800. Its totient is φ = 25969766400.

The previous prime is 114064145929. The next prime is 114064146017. The reversal of 114064146000 is 641460411.

114064146000 is a `hidden beast` number, since 1 + 1 + 40 + 6 + 4 + 14 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140993596 + ... + 140994404.

It is an arithmetic number, because the mean of its divisors is an integer number (732508920).

Almost surely, 2^114064146000 is an apocalyptic number.

114064146000 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 114064146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234402854400).

114064146000 is an abundant number, since it is smaller than the sum of its proper divisors (354741562800).

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

114064146000 is a wasteful number, since it uses less digits than its factorization.

114064146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 114064146000 in words is "one hundred fourteen billion, sixty-four million, one hundred forty-six thousand".