920353293648 has 160 divisors (see below), whose sum is σ = 2682838108800. Its totient is φ = 302047488000.

The previous prime is 920353293647. The next prime is 920353293683. The reversal of 920353293648 is 846392353029.

It is a happy number.

920353293648 is a `hidden beast` number, since 9 + 203 + 53 + 29 + 364 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 920353293594 and 920353293603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920353293647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7751208 + ... + 7869048.

It is an arithmetic number, because the mean of its divisors is an integer number (16767738180).

Almost surely, 2^920353293648 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 920353293648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341419054400).

920353293648 is an abundant number, since it is smaller than the sum of its proper divisors (1762484815152).

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

920353293648 is a wasteful number, since it uses less digits than its factorization.

920353293648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118138 (or 118126 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 920353293648 in words is "nine hundred twenty billion, three hundred fifty-three million, two hundred ninety-three thousand, six hundred forty-eight".