115541523552 has 384 divisors, whose sum is σ = 378723631104. Its totient is φ = 30032529408.

The previous prime is 115541523533. The next prime is 115541523563. The reversal of 115541523552 is 255325145511.

It is a super-3 number, since 3×115541523552³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 115541523552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247412023 + ... + 247412489.

It is an arithmetic number, because the mean of its divisors is an integer number (986259456).

Almost surely, 2^115541523552 is an apocalyptic number.

115541523552 is a gapful number since it is divisible by the number (12) 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 115541523552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189361815552).

115541523552 is an abundant number, since it is smaller than the sum of its proper divisors (263182107552).

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

115541523552 is a wasteful number, since it uses less digits than its factorization.

115541523552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its digits is 150000, while the sum is 39.

The spelling of 115541523552 in words is "one hundred fifteen billion, five hundred forty-one million, five hundred twenty-three thousand, five hundred fifty-two".