16742996912096 has 192 divisors, whose sum is σ = 40768369044480. Its totient is φ = 6591175372800.

The previous prime is 16742996912051. The next prime is 16742996912101. The reversal of 16742996912096 is 69021969924761.

It is a super-2 number, since 2×16742996912096² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686267260 + ... + 1686277188.

It is an arithmetic number, because the mean of its divisors is an integer number (212335255440).

Almost surely, 2^{16742996912096} is an apocalyptic number.

16742996912096 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 16742996912096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384184522240).

16742996912096 is an abundant number, since it is smaller than the sum of its proper divisors (24025372132384).

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

16742996912096 is a wasteful number, since it uses less digits than its factorization.

16742996912096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12729 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 71.

The spelling of 16742996912096 in words is "sixteen trillion, seven hundred forty-two billion, nine hundred ninety-six million, nine hundred twelve thousand, ninety-six".