13995229248000 has 7680 divisors, whose sum is σ = 74950082887680. Its totient is φ = 2508226560000.

The previous prime is 13995229247927. The next prime is 13995229248041. The reversal of 13995229248000 is 84292259931.

13995229248000 is a `hidden beast` number, since 1 + 3 + 99 + 52 + 29 + 2 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 451459007985 + ... + 451459008015.

It is an arithmetic number, because the mean of its divisors is an integer number (9759125376).

Almost surely, 2^{13995229248000} is an apocalyptic number.

13995229248000 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 13995229248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37475041443840).

13995229248000 is an abundant number, since it is smaller than the sum of its proper divisors (60954853639680).

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

13995229248000 is a wasteful number, since it uses less digits than its factorization.

13995229248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 13995229248000 in words is "thirteen trillion, nine hundred ninety-five billion, two hundred twenty-nine million, two hundred forty-eight thousand".