201187831104 has 560 divisors, whose sum is σ = 685894366080. Its totient is φ = 57793720320.

The previous prime is 201187831087. The next prime is 201187831223. The reversal of 201187831104 is 401138781102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90910702 + ... + 90912914.

It is an arithmetic number, because the mean of its divisors is an integer number (1224811368).

Almost surely, 2^201187831104 is an apocalyptic number.

201187831104 is a gapful number since it is divisible by the number (24) 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 201187831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342947183040).

201187831104 is an abundant number, since it is smaller than the sum of its proper divisors (484706534976).

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

201187831104 is a wasteful number, since it uses less digits than its factorization.

201187831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 201187831104 in words is "two hundred one billion, one hundred eighty-seven million, eight hundred thirty-one thousand, one hundred four".