920239659478944 has 1152 divisors, whose sum is σ = 3343045547761920. Its totient is φ = 244683855101952.

The previous prime is 920239659478939. The next prime is 920239659479033. The reversal of 920239659478944 is 449874956932029.

It is a happy number.

920239659478944 is a `hidden beast` number, since 9 + 2 + 0 + 2 + 3 + 9 + 6 + 59 + 478 + 94 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84682028199 + ... + 84682039065.

It is an arithmetic number, because the mean of its divisors is an integer number (2901949260210).

Almost surely, 2^{920239659478944} 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 920239659478944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671522773880960).

920239659478944 is an abundant number, since it is smaller than the sum of its proper divisors (2422805888282976).

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

920239659478944 is a wasteful number, since it uses less digits than its factorization.

920239659478944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 920239659478944 in words is "nine hundred twenty trillion, two hundred thirty-nine billion, six hundred fifty-nine million, four hundred seventy-eight thousand, nine hundred forty-four".