13909866812928 has 480 divisors, whose sum is σ = 44931809894400. Its totient is φ = 4116798701568.

The previous prime is 13909866812923. The next prime is 13909866812981. The reversal of 13909866812928 is 82921866890931.

13909866812928 is a `hidden beast` number, since 1 + 390 + 9 + 86 + 68 + 12 + 92 + 8 = 666.

It is a super-2 number, since 2×13909866812928² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13909866812923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355704225 + ... + 355743327.

It is an arithmetic number, because the mean of its divisors is an integer number (93607937280).

Almost surely, 2^{13909866812928} is an apocalyptic number.

13909866812928 is a gapful number since it is divisible by the number (18) 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 13909866812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465904947200).

13909866812928 is an abundant number, since it is smaller than the sum of its proper divisors (31021943081472).

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

13909866812928 is a wasteful number, since it uses less digits than its factorization.

13909866812928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39402 (or 39383 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 13909866812928 in words is "thirteen trillion, nine hundred nine billion, eight hundred sixty-six million, eight hundred twelve thousand, nine hundred twenty-eight".