114967853000 has 512 divisors, whose sum is σ = 369746657280. Its totient is φ = 32296320000.

The previous prime is 114967852991. The next prime is 114967853009. The reversal of 114967853000 is 358769411.

It is an interprime number because it is at equal distance from previous prime (114967852991) and next prime (114967853009).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (114967853009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43041665 + ... + 43044335.

It is an arithmetic number, because the mean of its divisors is an integer number (722161440).

Almost surely, 2^114967853000 is an apocalyptic number.

114967853000 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 114967853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184873328640).

114967853000 is an abundant number, since it is smaller than the sum of its proper divisors (254778804280).

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

114967853000 is a wasteful number, since it uses less digits than its factorization.

114967853000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 114967853000 in words is "one hundred fourteen billion, nine hundred sixty-seven million, eight hundred fifty-three thousand".