201115830888 has 288 divisors, whose sum is σ = 670024293120. Its totient is φ = 54250560000.

The previous prime is 201115830863. The next prime is 201115830913. The reversal of 201115830888 is 888038511102.

201115830888 is a `hidden beast` number, since 201 + 11 + 58 + 308 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (201115830863) and next prime (201115830913).

It is a super-2 number, since 2×201115830888² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4461663 + ... + 4506513.

It is an arithmetic number, because the mean of its divisors is an integer number (2326473240).

Almost surely, 2^201115830888 is an apocalyptic number.

201115830888 is a gapful number since it is divisible by the number (28) 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 201115830888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335012146560).

201115830888 is an abundant number, since it is smaller than the sum of its proper divisors (468908462232).

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

201115830888 is a wasteful number, since it uses less digits than its factorization.

201115830888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44949 (or 44935 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 201115830888 in words is "two hundred one billion, one hundred fifteen million, eight hundred thirty thousand, eight hundred eighty-eight".