115321411145000 has 320 divisors, whose sum is σ = 292867592371200. Its totient is φ = 42413690880000.

The previous prime is 115321411144991. The next prime is 115321411145063. The reversal of 115321411145000 is 541114123511.

It is a super-2 number, since 2×115321411145000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 751658297 + ... + 751811703.

It is an arithmetic number, because the mean of its divisors is an integer number (915211226160).

Almost surely, 2^{115321411145000} is an apocalyptic number.

115321411145000 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 115321411145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146433796185600).

115321411145000 is an abundant number, since it is smaller than the sum of its proper divisors (177546181226200).

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

115321411145000 is a wasteful number, since it uses less digits than its factorization.

115321411145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153686 (or 153667 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

Adding to 115321411145000 its reverse (541114123511), we get a palindrome (115862525268511).

The spelling of 115321411145000 in words is "one hundred fifteen trillion, three hundred twenty-one billion, four hundred eleven million, one hundred forty-five thousand".