14164631712 has 216 divisors, whose sum is σ = 50601384288. Its totient is φ = 3679061760.

The previous prime is 14164631687. The next prime is 14164631713. The reversal of 14164631712 is 21713646141.

14164631712 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 4 + 631 + 7 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14164631713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214903 + ... + 272969.

It is an arithmetic number, because the mean of its divisors is an integer number (234265668).

Almost surely, 2^14164631712 is an apocalyptic number.

14164631712 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 14164631712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25300692144).

14164631712 is an abundant number, since it is smaller than the sum of its proper divisors (36436752576).

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

14164631712 is a wasteful number, since it uses less digits than its factorization.

14164631712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58112 (or 58090 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 14164631712 in words is "fourteen billion, one hundred sixty-four million, six hundred thirty-one thousand, seven hundred twelve".