906921109248 has 1152 divisors, whose sum is σ = 3384647368704. Its totient is φ = 208266854400.

The previous prime is 906921109189. The next prime is 906921109267. The reversal of 906921109248 is 842901129609.

It is a super-2 number, since 2×906921109248² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 906921109248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1410452415 + ... + 1410453057.

It is an arithmetic number, because the mean of its divisors is an integer number (2938061952).

Almost surely, 2^906921109248 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 906921109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692323684352).

906921109248 is an abundant number, since it is smaller than the sum of its proper divisors (2477726259456).

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

906921109248 is a wasteful number, since it uses less digits than its factorization.

906921109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 906921109248 in words is "nine hundred six billion, nine hundred twenty-one million, one hundred nine thousand, two hundred forty-eight".