113515484544 has 384 divisors, whose sum is σ = 420402677760. Its totient is φ = 28532736000.

The previous prime is 113515484539. The next prime is 113515484597. The reversal of 113515484544 is 445484515311.

113515484544 is a `hidden beast` number, since 1 + 1 + 3 + 51 + 54 + 8 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 113515484544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2729184 + ... + 2770464.

It is an arithmetic number, because the mean of its divisors is an integer number (1094798640).

Almost surely, 2^113515484544 is an apocalyptic number.

113515484544 is a gapful number since it is divisible by the number (14) 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 113515484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210201338880).

113515484544 is an abundant number, since it is smaller than the sum of its proper divisors (306887193216).

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

113515484544 is a wasteful number, since it uses less digits than its factorization.

113515484544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41350 (or 41335 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

Adding to 113515484544 its reverse (445484515311), we get a palindrome (558999999855).

The spelling of 113515484544 in words is "one hundred thirteen billion, five hundred fifteen million, four hundred eighty-four thousand, five hundred forty-four".