920006394048 has 336 divisors, whose sum is σ = 3086781874176. Its totient is φ = 256501002240.

The previous prime is 920006394037. The next prime is 920006394071. The reversal of 920006394048 is 840493600029.

920006394048 is a `hidden beast` number, since 9 + 2 + 0 + 0 + 0 + 639 + 4 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 920006393994 and 920006394012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256768065 + ... + 256771647.

It is an arithmetic number, because the mean of its divisors is an integer number (9186850816).

Almost surely, 2^920006394048 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 920006394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543390937088).

920006394048 is an abundant number, since it is smaller than the sum of its proper divisors (2166775480128).

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

920006394048 is a wasteful number, since it uses less digits than its factorization.

920006394048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 920006394048 in words is "nine hundred twenty billion, six million, three hundred ninety-four thousand, forty-eight".