115226267904000 has 4608 divisors, whose sum is σ = 511538436864000. Its totient is φ = 25301237760000.

The previous prime is 115226267903983. The next prime is 115226267904047. The reversal of 115226267904000 is 409762622511.

115226267904000 is a `hidden beast` number, since 1 + 1 + 522 + 62 + 67 + 9 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1388268287959 + ... + 1388268288041.

It is an arithmetic number, because the mean of its divisors is an integer number (111010945500).

Almost surely, 2^{115226267904000} is an apocalyptic number.

115226267904000 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 115226267904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255769218432000).

115226267904000 is an abundant number, since it is smaller than the sum of its proper divisors (396312168960000).

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

115226267904000 is a wasteful number, since it uses less digits than its factorization.

115226267904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 115226267904000 in words is "one hundred fifteen trillion, two hundred twenty-six billion, two hundred sixty-seven million, nine hundred four thousand".