14988900960 has 576 divisors, whose sum is σ = 58607587584. Its totient is φ = 3587328000.

The previous prime is 14988900929. The next prime is 14988900961. The reversal of 14988900960 is 6900988941.

14988900960 is a `hidden beast` number, since 1 + 498 + 8 + 90 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14988900897 and 14988900906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14988900961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43195507 + ... + 43195853.

It is an arithmetic number, because the mean of its divisors is an integer number (101749284).

Almost surely, 2^14988900960 is an apocalyptic number.

14988900960 is a gapful number since it is divisible by the number (10) 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 14988900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29303793792).

14988900960 is an abundant number, since it is smaller than the sum of its proper divisors (43618686624).

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

14988900960 is a wasteful number, since it uses less digits than its factorization.

14988900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 14988900960 in words is "fourteen billion, nine hundred eighty-eight million, nine hundred thousand, nine hundred sixty".