13848954780672 has 352 divisors, whose sum is σ = 44766156764160. Its totient is φ = 4194428682240.

The previous prime is 13848954780667. The next prime is 13848954780673. The reversal of 13848954780672 is 27608745984831.

It is a happy number.

13848954780672 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 8 + 9 + 547 + 8 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13848954780672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13848954780673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627405028 + ... + 627427100.

It is a 1-persistent number, because it is pandigital, but 2⋅13848954780672 = 27697909561344 is not.

Almost surely, 2^{13848954780672} is an apocalyptic number.

13848954780672 is a gapful number since it is divisible by the number (12) 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 13848954780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22383078382080).

13848954780672 is an abundant number, since it is smaller than the sum of its proper divisors (30917201983488).

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

13848954780672 is a wasteful number, since it uses less digits than its factorization.

13848954780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 24152 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 13848954780672 in words is "thirteen trillion, eight hundred forty-eight billion, nine hundred fifty-four million, seven hundred eighty thousand, six hundred seventy-two".