920144394688 has 448 divisors, whose sum is σ = 2180233912320. Its totient is φ = 382205952000.

The previous prime is 920144394677. The next prime is 920144394727. The reversal of 920144394688 is 886493441029.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3580328256 + ... + 3580328512.

Almost surely, 2^920144394688 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 920144394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090116956160).

920144394688 is an abundant number, since it is smaller than the sum of its proper divisors (1260089517632).

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

920144394688 is a wasteful number, since it uses less digits than its factorization.

920144394688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 920144394688 in words is "nine hundred twenty billion, one hundred forty-four million, three hundred ninety-four thousand, six hundred eighty-eight".