14136525248160 has 768 divisors, whose sum is σ = 55217388441600. Its totient is φ = 2968049516544.

The previous prime is 14136525248077. The next prime is 14136525248311. The reversal of 14136525248160 is 6184252563141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376062646 + ... + 376100234.

It is an arithmetic number, because the mean of its divisors is an integer number (71897641200).

Almost surely, 2^{14136525248160} is an apocalyptic number.

14136525248160 is a gapful number since it is divisible by the number (10) 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 14136525248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27608694220800).

14136525248160 is an abundant number, since it is smaller than the sum of its proper divisors (41080863193440).

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

14136525248160 is a wasteful number, since it uses less digits than its factorization.

14136525248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37813 (or 37805 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 14136525248160 in words is "fourteen trillion, one hundred thirty-six billion, five hundred twenty-five million, two hundred forty-eight thousand, one hundred sixty".