16134532051968 has 1760 divisors, whose sum is σ = 59744957754240. Its totient is φ = 4273062543360.

The previous prime is 16134532051927. The next prime is 16134532051993. The reversal of 16134532051968 is 86915023543161.

16134532051968 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 45 + 3 + 20 + 519 + 68 = 666.

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 159 ways as a sum of consecutive naturals, for example, 15619101180 + ... + 15619102212.

It is an arithmetic number, because the mean of its divisors is an integer number (33945998724).

Almost surely, 2^{16134532051968} is an apocalyptic number.

16134532051968 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 16134532051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29872478877120).

16134532051968 is an abundant number, since it is smaller than the sum of its proper divisors (43610425702272).

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

16134532051968 is a wasteful number, since it uses less digits than its factorization.

16134532051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 16134532051968 in words is "sixteen trillion, one hundred thirty-four billion, five hundred thirty-two million, fifty-one thousand, nine hundred sixty-eight".