14237665920 has 384 divisors, whose sum is σ = 53584516800. Its totient is φ = 3572121600.

The previous prime is 14237665891. The next prime is 14237665921. The reversal of 14237665920 is 2956673241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14237665920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14237665921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4992495 + ... + 4995345.

Almost surely, 2^14237665920 is an apocalyptic number.

14237665920 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 14237665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26792258400).

14237665920 is an abundant number, since it is smaller than the sum of its proper divisors (39346850880).

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

14237665920 is a wasteful number, since it uses less digits than its factorization.

14237665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 14237665920 in words is "fourteen billion, two hundred thirty-seven million, six hundred sixty-five thousand, nine hundred twenty".