13944748866048 has 2400 divisors, whose sum is σ = 58148333768448. Its totient is φ = 3269055283200.

The previous prime is 13944748866031. The next prime is 13944748866053. The reversal of 13944748866048 is 84066884744931.

13944748866048 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 4 + 7 + 4 + 8 + 8 + 6 + 604 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13657931778 + ... + 13657932798.

Almost surely, 2^{13944748866048} is an apocalyptic number.

13944748866048 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 13944748866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29074166884224).

13944748866048 is an abundant number, since it is smaller than the sum of its proper divisors (44203584902400).

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

13944748866048 is a wasteful number, since it uses less digits than its factorization.

13944748866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 13944748866048 in words is "thirteen trillion, nine hundred forty-four billion, seven hundred forty-eight million, eight hundred sixty-six thousand, forty-eight".