114062065920 has 576 divisors, whose sum is σ = 444706375680. Its totient is φ = 27454464000.

The previous prime is 114062065891. The next prime is 114062065921. The reversal of 114062065920 is 29560260411.

114062065920 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 62 + 0 + 6 + 592 + 0 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (114062065921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 57403167 + ... + 57405153.

It is an arithmetic number, because the mean of its divisors is an integer number (772059680).

Almost surely, 2^114062065920 is an apocalyptic number.

114062065920 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 114062065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222353187840).

114062065920 is an abundant number, since it is smaller than the sum of its proper divisors (330644309760).

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

114062065920 is a wasteful number, since it uses less digits than its factorization.

114062065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 114062065920 in words is "one hundred fourteen billion, sixty-two million, sixty-five thousand, nine hundred twenty".