906121922832 has 160 divisors (see below), whose sum is σ = 2977481928960. Its totient is φ = 258454886400.

The previous prime is 906121922777. The next prime is 906121922837. The reversal of 906121922832 is 238229121609.

906121922832 is a `hidden beast` number, since 9 + 0 + 612 + 1 + 9 + 2 + 28 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (906121922837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1540582 + ... + 2045882.

It is an arithmetic number, because the mean of its divisors is an integer number (18609262056).

Almost surely, 2^906121922832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906121922832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488740964480).

906121922832 is an abundant number, since it is smaller than the sum of its proper divisors (2071360006128).

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

906121922832 is a wasteful number, since it uses less digits than its factorization.

906121922832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505918 (or 505906 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 906121922832 in words is "nine hundred six billion, one hundred twenty-one million, nine hundred twenty-two thousand, eight hundred thirty-two".