14097669120 has 528 divisors, whose sum is σ = 51501864960. Its totient is φ = 3561062400.

The previous prime is 14097669107. The next prime is 14097669127. The reversal of 14097669120 is 2196679041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14097669127) 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, 101422011 + ... + 101422149.

Almost surely, 2^14097669120 is an apocalyptic number.

14097669120 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 14097669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750932480).

14097669120 is an abundant number, since it is smaller than the sum of its proper divisors (37404195840).

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

14097669120 is a wasteful number, since it uses less digits than its factorization.

14097669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 14097669120 in words is "fourteen billion, ninety-seven million, six hundred sixty-nine thousand, one hundred twenty".