114191268000 has 384 divisors, whose sum is σ = 382331529216. Its totient is φ = 29786112000.

The previous prime is 114191267917. The next prime is 114191268011. The reversal of 114191268000 is 862191411.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188123697 + ... + 188124303.

It is an arithmetic number, because the mean of its divisors is an integer number (995655024).

Almost surely, 2^114191268000 is an apocalyptic number.

114191268000 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 114191268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191165764608).

114191268000 is an abundant number, since it is smaller than the sum of its proper divisors (268140261216).

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

114191268000 is a wasteful number, since it uses less digits than its factorization.

114191268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 114191268000 in words is "one hundred fourteen billion, one hundred ninety-one million, two hundred sixty-eight thousand".