13853460741120 has 5280 divisors, whose sum is σ = 71432011385856. Its totient is φ = 2484338688000.

The previous prime is 13853460741089. The next prime is 13853460741157. The reversal of 13853460741120 is 2114706435831.

13853460741120 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 3 + 4 + 607 + 4 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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 479 ways as a sum of consecutive naturals, for example, 91744773045 + ... + 91744773195.

Almost surely, 2^{13853460741120} is an apocalyptic number.

13853460741120 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 13853460741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35716005692928).

13853460741120 is an abundant number, since it is smaller than the sum of its proper divisors (57578550644736).

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

13853460741120 is a wasteful number, since it uses less digits than its factorization.

13853460741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13853460741120 in words is "thirteen trillion, eight hundred fifty-three billion, four hundred sixty million, seven hundred forty-one thousand, one hundred twenty".