14037349872 has 480 divisors, whose sum is σ = 48621054720. Its totient is φ = 3448811520.

The previous prime is 14037349841. The next prime is 14037349883. The reversal of 14037349872 is 27894373041.

14037349872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42408747 + ... + 42409077.

It is an arithmetic number, because the mean of its divisors is an integer number (101293864).

Almost surely, 2^14037349872 is an apocalyptic number.

14037349872 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 14037349872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24310527360).

14037349872 is an abundant number, since it is smaller than the sum of its proper divisors (34583704848).

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

14037349872 is a wasteful number, since it uses less digits than its factorization.

14037349872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

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

The spelling of 14037349872 in words is "fourteen billion, thirty-seven million, three hundred forty-nine thousand, eight hundred seventy-two".