14957048236032 has 864 divisors, whose sum is σ = 51099467328000. Its totient is φ = 4212975255552.

The previous prime is 14957048236027. The next prime is 14957048236057. The reversal of 14957048236032 is 23063284075941.

14957048236032 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 7 + 0 + 4 + 8 + 23 + 603 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14957048236032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67071965073 + ... + 67071965295.

It is an arithmetic number, because the mean of its divisors is an integer number (59142902000).

It is a 1-persistent number, because it is pandigital, but 2⋅14957048236032 = 29914096472064 is not.

Almost surely, 2^{14957048236032} is an apocalyptic number.

14957048236032 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 14957048236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25549733664000).

14957048236032 is an abundant number, since it is smaller than the sum of its proper divisors (36142419091968).

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

14957048236032 is an equidigital number, since it uses as much as digits as its factorization.

14957048236032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 14957048236032 in words is "fourteen trillion, nine hundred fifty-seven billion, forty-eight million, two hundred thirty-six thousand, thirty-two".