903423144960 has 2112 divisors, whose sum is σ = 3969935424000. Its totient is φ = 196644962304.

The previous prime is 903423144941. The next prime is 903423145003. The reversal of 903423144960 is 69441324309.

903423144960 is a `hidden beast` number, since 90 + 3 + 42 + 31 + 4 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 12375659484 + ... + 12375659556.

Almost surely, 2^903423144960 is an apocalyptic number.

903423144960 is a gapful number since it is divisible by the number (90) 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 903423144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984967712000).

903423144960 is an abundant number, since it is smaller than the sum of its proper divisors (3066512279040).

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

903423144960 is an equidigital number, since it uses as much as digits as its factorization.

903423144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 903423144960 in words is "nine hundred three billion, four hundred twenty-three million, one hundred forty-four thousand, nine hundred sixty".