13854387405312 has 320 divisors, whose sum is σ = 42347745285120. Its totient is φ = 4467585024000.

The previous prime is 13854387405241. The next prime is 13854387405349. The reversal of 13854387405312 is 21350478345831.

13854387405312 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 38 + 74 + 0 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2388272812 + ... + 2388278612.

It is an arithmetic number, because the mean of its divisors is an integer number (132336704016).

Almost surely, 2^{13854387405312} is an apocalyptic number.

13854387405312 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 13854387405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173872642560).

13854387405312 is an abundant number, since it is smaller than the sum of its proper divisors (28493357879808).

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

13854387405312 is an equidigital number, since it uses as much as digits as its factorization.

13854387405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11432 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 13854387405312 in words is "thirteen trillion, eight hundred fifty-four billion, three hundred eighty-seven million, four hundred five thousand, three hundred twelve".