13856451840 has 1152 divisors, whose sum is σ = 63294013440. Its totient is φ = 2786918400.

The previous prime is 13856451823. The next prime is 13856451859. The reversal of 13856451840 is 4815465831.

13856451840 is a `hidden beast` number, since 1 + 3 + 8 + 564 + 5 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109105857 + ... + 109105983.

It is an arithmetic number, because the mean of its divisors is an integer number (54942720).

Almost surely, 2^13856451840 is an apocalyptic number.

13856451840 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 13856451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31647006720).

13856451840 is an abundant number, since it is smaller than the sum of its proper divisors (49437561600).

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

13856451840 is a wasteful number, since it uses less digits than its factorization.

13856451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 13856451840 in words is "thirteen billion, eight hundred fifty-six million, four hundred fifty-one thousand, eight hundred forty".