201667623102 has 192 divisors, whose sum is σ = 500537366784. Its totient is φ = 60348291840.

The previous prime is 201667623071. The next prime is 201667623109. The reversal of 201667623102 is 201326766102.

201667623102 is a `hidden beast` number, since 2 + 0 + 16 + 6 + 7 + 623 + 10 + 2 = 666.

It is a super-2 number, since 2×201667623102² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201667623109) 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 95 ways as a sum of consecutive naturals, for example, 166254648 + ... + 166255860.

It is an arithmetic number, because the mean of its divisors is an integer number (2606965452).

Almost surely, 2^201667623102 is an apocalyptic number.

201667623102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201667623102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250268683392).

201667623102 is an abundant number, since it is smaller than the sum of its proper divisors (298869743682).

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

201667623102 is a wasteful number, since it uses less digits than its factorization.

201667623102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 201667623102 in words is "two hundred one billion, six hundred sixty-seven million, six hundred twenty-three thousand, one hundred two".