14336269920 has 768 divisors, whose sum is σ = 60801269760. Its totient is φ = 3085516800.

The previous prime is 14336269903. The next prime is 14336269921. The reversal of 14336269920 is 2996263341.

14336269920 is a `hidden beast` number, since 14 + 3 + 3 + 626 + 9 + 9 + 2 + 0 = 666.

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 (14336269921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38434854 + ... + 38435226.

It is an arithmetic number, because the mean of its divisors is an integer number (79168320).

Almost surely, 2^14336269920 is an apocalyptic number.

14336269920 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 14336269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30400634880).

14336269920 is an abundant number, since it is smaller than the sum of its proper divisors (46464999840).

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

14336269920 is a wasteful number, since it uses less digits than its factorization.

14336269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 14336269920 in words is "fourteen billion, three hundred thirty-six million, two hundred sixty-nine thousand, nine hundred twenty".