906342080448 has 336 divisors, whose sum is σ = 2873669420544. Its totient is φ = 251922908160.

The previous prime is 906342080419. The next prime is 906342080461. The reversal of 906342080448 is 844080243609.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 906342080397 and 906342080406.

It is a congruent number.

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, 119393133 + ... + 119400723.

Almost surely, 2^906342080448 is an apocalyptic number.

906342080448 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906342080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436834710272).

906342080448 is an abundant number, since it is smaller than the sum of its proper divisors (1967327340096).

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

906342080448 is an frugal number, since it uses more digits than its factorization.

906342080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

Subtracting from 906342080448 its sum of digits (48), we obtain a square (906342080400 = 952020²).

The spelling of 906342080448 in words is "nine hundred six billion, three hundred forty-two million, eighty thousand, four hundred forty-eight".