115545153424320 has 336 divisors, whose sum is σ = 399521683454400. Its totient is φ = 30649732743168.

The previous prime is 115545153424301. The next prime is 115545153424321. The reversal of 115545153424320 is 23424351545511.

115545153424320 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 4 + 51 + 534 + 2 + 43 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115545153424321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2588760724 + ... + 2588805356.

Almost surely, 2^{115545153424320} is an apocalyptic number.

115545153424320 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 115545153424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199760841727200).

115545153424320 is an abundant number, since it is smaller than the sum of its proper divisors (283976530030080).

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

115545153424320 is a wasteful number, since it uses less digits than its factorization.

115545153424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49372 (or 49359 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 115545153424320 in words is "one hundred fifteen trillion, five hundred forty-five billion, one hundred fifty-three million, four hundred twenty-four thousand, three hundred twenty".