115564204434648 has 192 divisors, whose sum is σ = 325124895513600. Its totient is φ = 34098912852480.

The previous prime is 115564204434611. The next prime is 115564204434649. The reversal of 115564204434648 is 846434402465511.

It is a super-2 number, since 2×115564204434648² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115564204434649) 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, 7027990 + ... + 16748762.

It is an arithmetic number, because the mean of its divisors is an integer number (1693358830800).

Almost surely, 2^{115564204434648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115564204434648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162562447756800).

115564204434648 is an abundant number, since it is smaller than the sum of its proper divisors (209560691078952).

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

115564204434648 is a wasteful number, since it uses less digits than its factorization.

115564204434648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9720890 (or 9720857 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 57.

The spelling of 115564204434648 in words is "one hundred fifteen trillion, five hundred sixty-four billion, two hundred four million, four hundred thirty-four thousand, six hundred forty-eight".