115465151218000 has 320 divisors, whose sum is σ = 306730447994880. Its totient is φ = 41844154176000.

The previous prime is 115465151217959. The next prime is 115465151218141. The reversal of 115465151218000 is 812151564511.

It is a super-2 number, since 2×115465151218000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 5480843467 + ... + 5480864533.

It is an arithmetic number, because the mean of its divisors is an integer number (958532649984).

Almost surely, 2^{115465151218000} is an apocalyptic number.

115465151218000 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 115465151218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153365223997440).

115465151218000 is an abundant number, since it is smaller than the sum of its proper divisors (191265296776880).

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

115465151218000 is a wasteful number, since it uses less digits than its factorization.

115465151218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27403 (or 27387 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 40.

The spelling of 115465151218000 in words is "one hundred fifteen trillion, four hundred sixty-five billion, one hundred fifty-one million, two hundred eighteen thousand".