10115307281664 has 1152 divisors, whose sum is σ = 35887705620480. Its totient is φ = 2778669121536.

The previous prime is 10115307281603. The next prime is 10115307281669. The reversal of 10115307281664 is 46618270351101.

10115307281664 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 307 + 281 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115307281669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4461978259 + ... + 4461980525.

It is an arithmetic number, because the mean of its divisors is an integer number (31152522240).

Almost surely, 2^{10115307281664} 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 10115307281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943852810240).

10115307281664 is an abundant number, since it is smaller than the sum of its proper divisors (25772398338816).

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

10115307281664 is a wasteful number, since it uses less digits than its factorization.

10115307281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10115307281664 in words is "ten trillion, one hundred fifteen billion, three hundred seven million, two hundred eighty-one thousand, six hundred sixty-four".