15249026138112 has 1680 divisors, whose sum is σ = 53609755787280. Its totient is φ = 4292937252864.

The previous prime is 15249026138107. The next prime is 15249026138119. The reversal of 15249026138112 is 21183162094251.

15249026138112 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 9 + 0 + 261 + 381 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 426649337856 + 14822376800256 = 653184^2 + 3849984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15249026138119) 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 111 ways as a sum of consecutive naturals, for example, 139899322314 + ... + 139899322422.

It is an arithmetic number, because the mean of its divisors is an integer number (31910568921).

Almost surely, 2^{15249026138112} is an apocalyptic number.

15249026138112 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 15249026138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26804877893640).

15249026138112 is an abundant number, since it is smaller than the sum of its proper divisors (38360729649168).

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

15249026138112 is an equidigital number, since it uses as much as digits as its factorization.

15249026138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 15249026138112 in words is "fifteen trillion, two hundred forty-nine billion, twenty-six million, one hundred thirty-eight thousand, one hundred twelve".