201091673772 has 144 divisors (see below), whose sum is σ = 566549448192. Its totient is φ = 59621927040.

The previous prime is 201091673749. The next prime is 201091673777. The reversal of 201091673772 is 277376190102.

It is a super-2 number, since 2×201091673772² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201091673777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7689543 + ... + 7715649.

It is an arithmetic number, because the mean of its divisors is an integer number (3934371168).

Almost surely, 2^201091673772 is an apocalyptic number.

201091673772 is a gapful number since it is divisible by the number (22) 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 201091673772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283274724096).

201091673772 is an abundant number, since it is smaller than the sum of its proper divisors (365457774420).

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

201091673772 is a wasteful number, since it uses less digits than its factorization.

201091673772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26548 (or 26543 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 201091673772 in words is "two hundred one billion, ninety-one million, six hundred seventy-three thousand, seven hundred seventy-two".