201696251693832 has 256 divisors, whose sum is σ = 653454489600000. Its totient is φ = 57620315027520.

The previous prime is 201696251693813. The next prime is 201696251693843. The reversal of 201696251693832 is 238396152696102.

It is a happy number.

201696251693832 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 96 + 2 + 5 + 169 + 383 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 201696251693832.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 608763657 + ... + 609094887.

It is an arithmetic number, because the mean of its divisors is an integer number (2552556600000).

Almost surely, 2^{201696251693832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201696251693832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326727244800000).

201696251693832 is an abundant number, since it is smaller than the sum of its proper divisors (451758237906168).

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

201696251693832 is a wasteful number, since it uses less digits than its factorization.

201696251693832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339486 (or 339462 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 201696251693832 in words is "two hundred one trillion, six hundred ninety-six billion, two hundred fifty-one million, six hundred ninety-three thousand, eight hundred thirty-two".