9074212156800 has 864 divisors, whose sum is σ = 37695094000200. Its totient is φ = 2072460902400.

The previous prime is 9074212156787. The next prime is 9074212156811. The reversal of 9074212156800 is 86512124709.

9074212156800 is a `hidden beast` number, since 9 + 0 + 7 + 421 + 215 + 6 + 8 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3218945791 + ... + 3218948609.

Almost surely, 2^{9074212156800} is an apocalyptic number.

9074212156800 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 9074212156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847547000100).

9074212156800 is an abundant number, since it is smaller than the sum of its proper divisors (28620881843400).

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

9074212156800 is a wasteful number, since it uses less digits than its factorization.

9074212156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 9074212156800 in words is "nine trillion, seventy-four billion, two hundred twelve million, one hundred fifty-six thousand, eight hundred".