16134977375088 has 320 divisors, whose sum is σ = 49259112215040. Its totient is φ = 4486614220800.

The previous prime is 16134977375071. The next prime is 16134977375093. The reversal of 16134977375088 is 88057377943161.

It is a super-3 number, since 3×16134977375088³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025151123 + ... + 1025166861.

It is an arithmetic number, because the mean of its divisors is an integer number (153934725672).

Almost surely, 2^{16134977375088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16134977375088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24629556107520).

16134977375088 is an abundant number, since it is smaller than the sum of its proper divisors (33124134839952).

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

16134977375088 is a wasteful number, since it uses less digits than its factorization.

16134977375088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16648 (or 16642 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 69.

The spelling of 16134977375088 in words is "sixteen trillion, one hundred thirty-four billion, nine hundred seventy-seven million, three hundred seventy-five thousand, eighty-eight".