115148302963200 has 1200 divisors, whose sum is σ = 459273228460200. Its totient is φ = 28324539924480.

The previous prime is 115148302963193. The next prime is 115148302963217. The reversal of 115148302963200 is 2369203841511.

115148302963200 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 8 + 3 + 0 + 2 + 9 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10060873484544 + 105087429478656 = 3171888^2 + 10251216^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33385995076 + ... + 33385998524.

Almost surely, 2^{115148302963200} is an apocalyptic number.

115148302963200 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 115148302963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229636614230100).

115148302963200 is an abundant number, since it is smaller than the sum of its proper divisors (344124925497000).

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

115148302963200 is a wasteful number, since it uses less digits than its factorization.

115148302963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 115148302963200 in words is "one hundred fifteen trillion, one hundred forty-eight billion, three hundred two million, nine hundred sixty-three thousand, two hundred".