16145794006848 has 672 divisors, whose sum is σ = 54706377922560. Its totient is φ = 4673604925440.

The previous prime is 16145794006817. The next prime is 16145794006877. The reversal of 16145794006848 is 84860049754161.

16145794006848 is a `hidden beast` number, since 1 + 6 + 14 + 579 + 4 + 0 + 0 + 6 + 8 + 48 = 666.

It is a super-2 number, since 2×16145794006848² (a number of 27 digits) contains 22 as substring.

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, 3450690973 + ... + 3450695651.

It is an arithmetic number, because the mean of its divisors is an integer number (81408300480).

Almost surely, 2^{16145794006848} is an apocalyptic number.

16145794006848 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 16145794006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27353188961280).

16145794006848 is an abundant number, since it is smaller than the sum of its proper divisors (38560583915712).

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

16145794006848 is a wasteful number, since it uses less digits than its factorization.

16145794006848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 16145794006848 in words is "sixteen trillion, one hundred forty-five billion, seven hundred ninety-four million, six thousand, eight hundred forty-eight".