14978101632 has 128 divisors (see below), whose sum is σ = 43891636320. Its totient is φ = 4496179200.

The previous prime is 14978101631. The next prime is 14978101687. The reversal of 14978101632 is 23610187941.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14978101631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168082 + ... + 241262.

Almost surely, 2^14978101632 is an apocalyptic number.

14978101632 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 14978101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945818160).

14978101632 is an abundant number, since it is smaller than the sum of its proper divisors (28913534688).

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

14978101632 is a wasteful number, since it uses less digits than its factorization.

14978101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73252 (or 73240 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 14978101632 in words is "fourteen billion, nine hundred seventy-eight million, one hundred one thousand, six hundred thirty-two".