114003641700 has 288 divisors, whose sum is σ = 395238453120. Its totient is φ = 28023667200.

The previous prime is 114003641693. The next prime is 114003641729. The reversal of 114003641700 is 7146300411.

It is a happy number.

114003641700 is a `hidden beast` number, since 1 + 14 + 0 + 0 + 3 + 641 + 7 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31833910 + ... + 31837490.

It is an arithmetic number, because the mean of its divisors is an integer number (1372355740).

Almost surely, 2^114003641700 is an apocalyptic number.

114003641700 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 114003641700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197619226560).

114003641700 is an abundant number, since it is smaller than the sum of its proper divisors (281234811420).

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

114003641700 is a wasteful number, since it uses less digits than its factorization.

114003641700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 114003641700 in words is "one hundred fourteen billion, three million, six hundred forty-one thousand, seven hundred".