903538996992 has 360 divisors, whose sum is σ = 2806835557680. Its totient is φ = 288837550080.

The previous prime is 903538996961. The next prime is 903538997059. The reversal of 903538996992 is 299699835309.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 903538996992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50151378 + ... + 50169390.

It is an arithmetic number, because the mean of its divisors is an integer number (7796765438).

Almost surely, 2^903538996992 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 903538996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403417778840).

903538996992 is an abundant number, since it is smaller than the sum of its proper divisors (1903296560688).

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

903538996992 is a wasteful number, since it uses less digits than its factorization.

903538996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18141 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 255091680, while the sum is 72.

The spelling of 903538996992 in words is "nine hundred three billion, five hundred thirty-eight million, nine hundred ninety-six thousand, nine hundred ninety-two".