14072243076192 has 768 divisors, whose sum is σ = 45217751040000. Its totient is φ = 3825472831488.

The previous prime is 14072243076181. The next prime is 14072243076217. The reversal of 14072243076192 is 29167034227041.

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

It is a congruent number.

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, 36742148833 + ... + 36742149215.

It is an arithmetic number, because the mean of its divisors is an integer number (58877280000).

Almost surely, 2^{14072243076192} is an apocalyptic number.

14072243076192 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 14072243076192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608875520000).

14072243076192 is an abundant number, since it is smaller than the sum of its proper divisors (31145507963808).

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

14072243076192 is a wasteful number, since it uses less digits than its factorization.

14072243076192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 14072243076192 in words is "fourteen trillion, seventy-two billion, two hundred forty-three million, seventy-six thousand, one hundred ninety-two".