14007768532992 has 144 divisors (see below), whose sum is σ = 43569085489020. Its totient is φ = 4310082551808.

The previous prime is 14007768532969. The next prime is 14007768533029. The reversal of 14007768532992 is 29923586770041.

14007768532992 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 7 + 7 + 6 + 8 + 532 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13632754369536 + 375014163456 = 3692256^2 + 612384^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28990003 + ... + 29469234.

It is a 2-persistent number, because it is pandigital, and so is 2⋅14007768532992 = 28015537065984, but 3⋅14007768532992 = 42023305598976 is not.

Almost surely, 2^{14007768532992} is an apocalyptic number.

14007768532992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14007768532992 is an abundant number, since it is smaller than the sum of its proper divisors (29561316956028).

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

14007768532992 is a wasteful number, since it uses less digits than its factorization.

14007768532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58459278 (or 58459255 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 14007768532992 in words is "fourteen trillion, seven billion, seven hundred sixty-eight million, five hundred thirty-two thousand, nine hundred ninety-two".