14716029468 has 384 divisors, whose sum is σ = 44255232000. Its totient is φ = 3793305600.

The previous prime is 14716029457. The next prime is 14716029527. The reversal of 14716029468 is 86492061741.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 151711596 + ... + 151711692.

It is an arithmetic number, because the mean of its divisors is an integer number (115248000).

Almost surely, 2^14716029468 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 14716029468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22127616000).

14716029468 is an abundant number, since it is smaller than the sum of its proper divisors (29539202532).

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

14716029468 is a wasteful number, since it uses less digits than its factorization.

14716029468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 14716029468 in words is "fourteen billion, seven hundred sixteen million, twenty-nine thousand, four hundred sixty-eight".