114677070000 has 400 divisors, whose sum is σ = 397615122432. Its totient is φ = 28367360000.

The previous prime is 114677069981. The next prime is 114677070019. The reversal of 114677070000 is 70776411.

It is an interprime number because it is at equal distance from previous prime (114677069981) and next prime (114677070019).

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 36208417 + ... + 36211583.

Almost surely, 2^114677070000 is an apocalyptic number.

114677070000 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 114677070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198807561216).

114677070000 is an abundant number, since it is smaller than the sum of its proper divisors (282938052432).

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

114677070000 is a wasteful number, since it uses less digits than its factorization.

114677070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 114677070000 in words is "one hundred fourteen billion, six hundred seventy-seven million, seventy thousand".