115229268000 has 864 divisors, whose sum is σ = 513856586880. Its totient is φ = 23937408000.

The previous prime is 115229267987. The next prime is 115229268001. The reversal of 115229268000 is 862922511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115229268001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30490111 + ... + 30493889.

It is an arithmetic number, because the mean of its divisors is an integer number (594741420).

Almost surely, 2^115229268000 is an apocalyptic number.

115229268000 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 115229268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256928293440).

115229268000 is an abundant number, since it is smaller than the sum of its proper divisors (398627318880).

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

115229268000 is a wasteful number, since it uses less digits than its factorization.

115229268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 115229268000 in words is "one hundred fifteen billion, two hundred twenty-nine million, two hundred sixty-eight thousand".