14973963648 has 128 divisors (see below), whose sum is σ = 46314789120. Its totient is φ = 4197513216.

The previous prime is 14973963629. The next prime is 14973963671. The reversal of 14973963648 is 84636937941.

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

It is a junction number, because it is equal to n+sod(n) for n = 14973963591 and 14973963600.

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, 89911 + ... + 195017.

It is an arithmetic number, because the mean of its divisors is an integer number (361834290).

Almost surely, 2^14973963648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14973963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23157394560).

14973963648 is an abundant number, since it is smaller than the sum of its proper divisors (31340825472).

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

14973963648 is a wasteful number, since it uses less digits than its factorization.

14973963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105184 (or 105172 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 60.

The spelling of 14973963648 in words is "fourteen billion, nine hundred seventy-three million, nine hundred sixty-three thousand, six hundred forty-eight".