14942976048 has 480 divisors, whose sum is σ = 56871360000. Its totient is φ = 3536732160.

The previous prime is 14942975977. The next prime is 14942976077. The reversal of 14942976048 is 84067924941.

14942976048 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 29 + 7 + 604 + 8 = 666.

It is a super-2 number, since 2×14942976048² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14942975985 and 14942976003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11963328 + ... + 11964576.

It is an arithmetic number, because the mean of its divisors is an integer number (118482000).

Almost surely, 2^14942976048 is an apocalyptic number.

14942976048 is a gapful number since it is divisible by the number (18) 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 14942976048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680000).

14942976048 is an abundant number, since it is smaller than the sum of its proper divisors (41928383952).

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

14942976048 is a wasteful number, since it uses less digits than its factorization.

14942976048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14942976048 in words is "fourteen billion, nine hundred forty-two million, nine hundred seventy-six thousand, forty-eight".