14077308672 has 432 divisors, whose sum is σ = 48435441600. Its totient is φ = 3848601600.

The previous prime is 14077308671. The next prime is 14077308683. The reversal of 14077308672 is 27680377041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14077308671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40335954 + ... + 40336302.

Almost surely, 2^14077308672 is an apocalyptic number.

14077308672 is a gapful number since it is divisible by the number (12) 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 14077308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217720800).

14077308672 is an abundant number, since it is smaller than the sum of its proper divisors (34358132928).

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

14077308672 is a wasteful number, since it uses less digits than its factorization.

14077308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 14077308672 in words is "fourteen billion, seventy-seven million, three hundred eight thousand, six hundred seventy-two".