14948014946832 has 160 divisors (see below), whose sum is σ = 46873697569920. Its totient is φ = 4523238720000.

The previous prime is 14948014946827. The next prime is 14948014946863. The reversal of 14948014946832 is 23864941084941.

14948014946832 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 80 + 1 + 494 + 68 + 3 + 2 = 666.

14948014946832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14948014946832.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087482 + ... + 5574822.

It is an arithmetic number, because the mean of its divisors is an integer number (292960609812).

Almost surely, 2^{14948014946832} is an apocalyptic number.

14948014946832 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 14948014946832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436848784960).

14948014946832 is an abundant number, since it is smaller than the sum of its proper divisors (31925682623088).

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

14948014946832 is a wasteful number, since it uses less digits than its factorization.

14948014946832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488070 (or 4488058 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 14948014946832 in words is "fourteen trillion, nine hundred forty-eight billion, fourteen million, nine hundred forty-six thousand, eight hundred thirty-two".