14969490429264 has 160 divisors (see below), whose sum is σ = 46237607460864. Its totient is φ = 4080358487040.

The previous prime is 14969490429259. The next prime is 14969490429307. The reversal of 14969490429264 is 46292409496941.

It is a happy number.

14969490429264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431044 + ... + 5488604.

Almost surely, 2^{14969490429264} is an apocalyptic number.

14969490429264 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 14969490429264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23118803730432).

14969490429264 is an abundant number, since it is smaller than the sum of its proper divisors (31268117031600).

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

14969490429264 is a wasteful number, since it uses less digits than its factorization.

14969490429264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057985 (or 5057979 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 69.

The spelling of 14969490429264 in words is "fourteen trillion, nine hundred sixty-nine billion, four hundred ninety million, four hundred twenty-nine thousand, two hundred sixty-four".