906133381200 has 480 divisors, whose sum is σ = 3458160806400. Its totient is φ = 224539361280.

The previous prime is 906133381129. The next prime is 906133381207. The reversal of 906133381200 is 2183331609.

906133381200 is a `hidden beast` number, since 9 + 0 + 613 + 3 + 38 + 1 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906133381207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14473164 + ... + 14535636.

It is an arithmetic number, because the mean of its divisors is an integer number (7204501680).

Almost surely, 2^906133381200 is an apocalyptic number.

906133381200 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 906133381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729080403200).

906133381200 is an abundant number, since it is smaller than the sum of its proper divisors (2552027425200).

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

906133381200 is a wasteful number, since it uses less digits than its factorization.

906133381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62596 (or 62579 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 906133381200 in words is "nine hundred six billion, one hundred thirty-three million, three hundred eighty-one thousand, two hundred".