14506906960 has 160 divisors (see below), whose sum is σ = 41584338432. Its totient is φ = 4583208960.

The previous prime is 14506906951. The next prime is 14506906991. The reversal of 14506906960 is 6960960541.

It is a self number, because there is not a number n which added to its sum of digits gives 14506906960.

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, 5291190 + ... + 5293930.

Almost surely, 2^14506906960 is an apocalyptic number.

14506906960 is a gapful number since it is divisible by the number (10) 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 14506906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20792169216).

14506906960 is an abundant number, since it is smaller than the sum of its proper divisors (27077431472).

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

14506906960 is a wasteful number, since it uses less digits than its factorization.

14506906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 14506906960 in words is "fourteen billion, five hundred six million, nine hundred six thousand, nine hundred sixty".