16961412096 has 352 divisors, whose sum is σ = 52085505600. Its totient is φ = 5449973760.

The previous prime is 16961412071. The next prime is 16961412107. The reversal of 16961412096 is 69021416961.

It is a happy number.

16961412096 is a `hidden beast` number, since 1 + 6 + 9 + 614 + 1 + 20 + 9 + 6 = 666.

16961412096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16961412096² (a number of 21 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150100936 + ... + 150101048.

Almost surely, 2^16961412096 is an apocalyptic number.

16961412096 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 16961412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26042752800).

16961412096 is an abundant number, since it is smaller than the sum of its proper divisors (35124093504).

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

16961412096 is a wasteful number, since it uses less digits than its factorization.

16961412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 16961412096 in words is "sixteen billion, nine hundred sixty-one million, four hundred twelve thousand, ninety-six".