13948554240000 has 2240 divisors, whose sum is σ = 55717130810880. Its totient is φ = 3438673920000.

The previous prime is 13948554239969. The next prime is 13948554240001. The reversal of 13948554240000 is 4245584931.

13948554240000 is a `hidden beast` number, since 1 + 3 + 94 + 8 + 554 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13948554240001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 130360319947 + ... + 130360320053.

It is an arithmetic number, because the mean of its divisors is an integer number (24873719112).

Almost surely, 2^{13948554240000} is an apocalyptic number.

13948554240000 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 13948554240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858565405440).

13948554240000 is an abundant number, since it is smaller than the sum of its proper divisors (41768576570880).

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

13948554240000 is an equidigital number, since it uses as much as digits as its factorization.

13948554240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 13948554240000 in words is "thirteen trillion, nine hundred forty-eight billion, five hundred fifty-four million, two hundred forty thousand".