16701993155232 has 864 divisors, whose sum is σ = 64315833865920. Its totient is φ = 4053503139840.

The previous prime is 16701993155231. The next prime is 16701993155257. The reversal of 16701993155232 is 23255139910761.

It is a happy number.

16701993155232 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 1 + 99 + 315 + 5 + 232 = 666.

It is not an unprimeable number, because it can be changed into a prime (16701993155231) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 215267998 + ... + 215345570.

It is an arithmetic number, because the mean of its divisors is an integer number (74439622530).

Almost surely, 2^{16701993155232} is an apocalyptic number.

16701993155232 is a gapful number since it is divisible by the number (12) 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 16701993155232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32157916932960).

16701993155232 is an abundant number, since it is smaller than the sum of its proper divisors (47613840710688).

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

16701993155232 is a wasteful number, since it uses less digits than its factorization.

16701993155232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77706 (or 77688 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 16701993155232 in words is "sixteen trillion, seven hundred one billion, nine hundred ninety-three million, one hundred fifty-five thousand, two hundred thirty-two".