14811271428096 has 1152 divisors, whose sum is σ = 52850099877120. Its totient is φ = 4084826112000.

The previous prime is 14811271428073. The next prime is 14811271428137. The reversal of 14811271428096 is 69082417211841.

It is a happy number.

14811271428096 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 1 + 271 + 4 + 280 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×14811271428096² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 5195113071 + ... + 5195115921.

It is an arithmetic number, because the mean of its divisors is an integer number (45876822810).

Almost surely, 2^{14811271428096} is an apocalyptic number.

14811271428096 is a gapful number since it is divisible by the number (16) 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 14811271428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26425049938560).

14811271428096 is an abundant number, since it is smaller than the sum of its proper divisors (38038828449024).

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

14811271428096 is a wasteful number, since it uses less digits than its factorization.

14811271428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 14811271428096 in words is "fourteen trillion, eight hundred eleven billion, two hundred seventy-one million, four hundred twenty-eight thousand, ninety-six".