16114151961600 has 3168 divisors, whose sum is σ = 70728875728896. Its totient is φ = 3162931200000.

The previous prime is 16114151961599. The next prime is 16114151961629. The reversal of 16114151961600 is 616915141161.

It is a happy number.

16114151961600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 123008793535 + ... + 123008793665.

Almost surely, 2^{16114151961600} is an apocalyptic number.

16114151961600 is a gapful number since it is divisible by the number (10) 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 16114151961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35364437864448).

16114151961600 is an abundant number, since it is smaller than the sum of its proper divisors (54614723767296).

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

16114151961600 is a wasteful number, since it uses less digits than its factorization.

16114151961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 16114151961600 in words is "sixteen trillion, one hundred fourteen billion, one hundred fifty-one million, nine hundred sixty-one thousand, six hundred".