9181811213190 has 1344 divisors, whose sum is σ = 33233877338112. Its totient is φ = 1802395929600.

The previous prime is 9181811213177. The next prime is 9181811213249. The reversal of 9181811213190 is 913121181819.

It is a super-2 number, since 2×9181811213190² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 5237769354 + ... + 5237771106.

Almost surely, 2^{9181811213190} is an apocalyptic number.

9181811213190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9181811213190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616938669056).

9181811213190 is an abundant number, since it is smaller than the sum of its proper divisors (24052066124922).

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

9181811213190 is a wasteful number, since it uses less digits than its factorization.

9181811213190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 45.

The spelling of 9181811213190 in words is "nine trillion, one hundred eighty-one billion, eight hundred eleven million, two hundred thirteen thousand, one hundred ninety".