16148535760896 has 2304 divisors, whose sum is σ = 62985749299200. Its totient is φ = 3611846246400.

The previous prime is 16148535760859. The next prime is 16148535760897. The reversal of 16148535760896 is 69806753584161.

It is a self number, because there is not a number n which added to its sum of digits gives 16148535760896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16148535760897) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33159210765 + ... + 33159211251.

It is an arithmetic number, because the mean of its divisors is an integer number (27337564800).

Almost surely, 2^{16148535760896} is an apocalyptic number.

16148535760896 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 16148535760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31492874649600).

16148535760896 is an abundant number, since it is smaller than the sum of its proper divisors (46837213538304).

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

16148535760896 is a wasteful number, since it uses less digits than its factorization.

16148535760896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 16148535760896 in words is "sixteen trillion, one hundred forty-eight billion, five hundred thirty-five million, seven hundred sixty thousand, eight hundred ninety-six".