14172511616 has 128 divisors (see below), whose sum is σ = 30598041600. Its totient is φ = 6518016000.

The previous prime is 14172511603. The next prime is 14172511621. The reversal of 14172511616 is 61611527141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12312641 + ... + 12313791.

It is an arithmetic number, because the mean of its divisors is an integer number (239047200).

Almost surely, 2^14172511616 is an apocalyptic number.

14172511616 is a gapful number since it is divisible by the number (16) 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 14172511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

14172511616 is an abundant number, since it is smaller than the sum of its proper divisors (16425529984).

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

14172511616 is a wasteful number, since it uses less digits than its factorization.

14172511616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1316 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The spelling of 14172511616 in words is "fourteen billion, one hundred seventy-two million, five hundred eleven thousand, six hundred sixteen".