115337401381566 has 192 divisors, whose sum is σ = 308155886438400. Its totient is φ = 30360380394240.

The previous prime is 115337401381561. The next prime is 115337401381607. The reversal of 115337401381566 is 665183104733511.

115337401381566 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 7 + 40 + 1 + 38 + 1 + 566 = 666.

It is a super-2 number, since 2×115337401381566² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115337401381561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4779228036 + ... + 4779252168.

It is an arithmetic number, because the mean of its divisors is an integer number (1604978575200).

Almost surely, 2^{115337401381566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115337401381566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154077943219200).

115337401381566 is an abundant number, since it is smaller than the sum of its proper divisors (192818485056834).

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

115337401381566 is a wasteful number, since it uses less digits than its factorization.

115337401381566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29631 (or 29628 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 115337401381566 in words is "one hundred fifteen trillion, three hundred thirty-seven billion, four hundred one million, three hundred eighty-one thousand, five hundred sixty-six".