13986846720 has 1152 divisors, whose sum is σ = 63534481920. Its totient is φ = 2866544640.

The previous prime is 13986846673. The next prime is 13986846749. The reversal of 13986846720 is 2764868931.

13986846720 is a `hidden beast` number, since 13 + 98 + 68 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600604 + ... + 191600676.

It is an arithmetic number, because the mean of its divisors is an integer number (55151460).

Almost surely, 2^13986846720 is an apocalyptic number.

13986846720 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 13986846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767240960).

13986846720 is an abundant number, since it is smaller than the sum of its proper divisors (49547635200).

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

13986846720 is an equidigital number, since it uses as much as digits as its factorization.

13986846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13986846720 in words is "thirteen billion, nine hundred eighty-six million, eight hundred forty-six thousand, seven hundred twenty".