13851206064 has 240 divisors, whose sum is σ = 41359019520. Its totient is φ = 4485507840.

The previous prime is 13851206029. The next prime is 13851206099. The reversal of 13851206064 is 46060215831.

It is a happy number.

13851206064 is a `hidden beast` number, since 1 + 38 + 5 + 12 + 0 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13851206029) and next prime (13851206099).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 41846379 + ... + 41846709.

It is an arithmetic number, because the mean of its divisors is an integer number (172329248).

Almost surely, 2^13851206064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13851206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20679509760).

13851206064 is an abundant number, since it is smaller than the sum of its proper divisors (27507813456).

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

13851206064 is a wasteful number, since it uses less digits than its factorization.

13851206064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13851206064 in words is "thirteen billion, eight hundred fifty-one million, two hundred six thousand, sixty-four".