14055101526816 has 480 divisors, whose sum is σ = 50055245678592. Its totient is φ = 3776831815680.

The previous prime is 14055101526793. The next prime is 14055101526847. The reversal of 14055101526816 is 61862510155041.

14055101526816 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 5 + 101 + 526 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 453711520 + ... + 453742496.

Almost surely, 2^{14055101526816} is an apocalyptic number.

14055101526816 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 14055101526816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25027622839296).

14055101526816 is an abundant number, since it is smaller than the sum of its proper divisors (36000144151776).

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

14055101526816 is a wasteful number, since it uses less digits than its factorization.

14055101526816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32494 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 14055101526816 in words is "fourteen trillion, fifty-five billion, one hundred one million, five hundred twenty-six thousand, eight hundred sixteen".