114700201680 has 160 divisors (see below), whose sum is σ = 374887434240. Its totient is φ = 28930245120.

The previous prime is 114700201669. The next prime is 114700201691. The reversal of 114700201680 is 86102007411.

It is an interprime number because it is at equal distance from previous prime (114700201669) and next prime (114700201691).

It is a super-2 number, since 2×114700201680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857429 + ... + 2897291.

It is an arithmetic number, because the mean of its divisors is an integer number (2343046464).

Almost surely, 2^114700201680 is an apocalyptic number.

114700201680 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 114700201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187443717120).

114700201680 is an abundant number, since it is smaller than the sum of its proper divisors (260187232560).

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

114700201680 is a wasteful number, since it uses less digits than its factorization.

114700201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40529 (or 40523 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 114700201680 in words is "one hundred fourteen billion, seven hundred million, two hundred one thousand, six hundred eighty".