13952381814000 has 2560 divisors, whose sum is σ = 62663417856000. Its totient is φ = 2955526963200.

The previous prime is 13952381813963. The next prime is 13952381814043. The reversal of 13952381814000 is 41818325931.

13952381814000 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 238 + 1 + 8 + 1 + 400 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22985801697 + ... + 22985802303.

It is an arithmetic number, because the mean of its divisors is an integer number (24477897600).

Almost surely, 2^{13952381814000} is an apocalyptic number.

13952381814000 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 13952381814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31331708928000).

13952381814000 is an abundant number, since it is smaller than the sum of its proper divisors (48711036042000).

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

13952381814000 is a wasteful number, since it uses less digits than its factorization.

13952381814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13952381814000 in words is "thirteen trillion, nine hundred fifty-two billion, three hundred eighty-one million, eight hundred fourteen thousand".