13854456000 has 1792 divisors, whose sum is σ = 68470272000. Its totient is φ = 2709504000.

The previous prime is 13854455987. The next prime is 13854456013. The reversal of 13854456000 is 65445831.

It is a happy number.

13854456000 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 45 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13854455987) and next prime (13854456013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 814967992 + ... + 814968008.

Almost surely, 2^13854456000 is an apocalyptic number.

13854456000 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 13854456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34235136000).

13854456000 is an abundant number, since it is smaller than the sum of its proper divisors (54615816000).

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

13854456000 is a wasteful number, since it uses less digits than its factorization.

13854456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13854456000 in words is "thirteen billion, eight hundred fifty-four million, four hundred fifty-six thousand".