14029217478864 has 480 divisors, whose sum is σ = 50086878806016. Its totient is φ = 3573182730240.

The previous prime is 14029217478863. The next prime is 14029217478971. The reversal of 14029217478864 is 46887471292041.

14029217478864 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 92 + 17 + 478 + 8 + 64 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14029217478863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24686199 + ... + 25248105.

Almost surely, 2^{14029217478864} is an apocalyptic number.

14029217478864 is a gapful number since it is divisible by the number (14) 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 14029217478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043439403008).

14029217478864 is an abundant number, since it is smaller than the sum of its proper divisors (36057661327152).

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

14029217478864 is a wasteful number, since it uses less digits than its factorization.

14029217478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562023 (or 562014 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 14029217478864 in words is "fourteen trillion, twenty-nine billion, two hundred seventeen million, four hundred seventy-eight thousand, eight hundred sixty-four".