9051135841800 has 1344 divisors, whose sum is σ = 36150198270480. Its totient is φ = 2086844497920.

The previous prime is 9051135841793. The next prime is 9051135841829. The reversal of 9051135841800 is 81485311509.

9051135841800 is a `hidden beast` number, since 9 + 0 + 51 + 1 + 3 + 584 + 18 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1878177057156 + 7172958784644 = 1370466^2 + 2678238^2 .

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

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 335 ways as a sum of consecutive naturals, for example, 8281002054 + ... + 8281003146.

Almost surely, 2^{9051135841800} is an apocalyptic number.

9051135841800 is a gapful number since it is divisible by the number (90) 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 9051135841800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075099135240).

9051135841800 is an abundant number, since it is smaller than the sum of its proper divisors (27099062428680).

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

9051135841800 is a wasteful number, since it uses less digits than its factorization.

9051135841800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 9051135841800 in words is "nine trillion, fifty-one billion, one hundred thirty-five million, eight hundred forty-one thousand, eight hundred".