920941513128 has 384 divisors, whose sum is σ = 3261590841600. Its totient is φ = 227810009088.

The previous prime is 920941513127. The next prime is 920941513147. The reversal of 920941513128 is 821315149029.

920941513128 is a `hidden beast` number, since 9 + 2 + 0 + 9 + 4 + 1 + 513 + 128 = 666.

It is a super-4 number, since 4×920941513128⁴ (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (920941513127) 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, 32621403 + ... + 32649621.

It is an arithmetic number, because the mean of its divisors is an integer number (8493726150).

Almost surely, 2^920941513128 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 920941513128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630795420800).

920941513128 is an abundant number, since it is smaller than the sum of its proper divisors (2340649328472).

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

920941513128 is a wasteful number, since it uses less digits than its factorization.

920941513128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28561 (or 28554 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 920941513128 in words is "nine hundred twenty billion, nine hundred forty-one million, five hundred thirteen thousand, one hundred twenty-eight".