997733753352 has 256 divisors, whose sum is σ = 3339361536000. Its totient is φ = 269638274304.

The previous prime is 997733753327. The next prime is 997733753369. The reversal of 997733753352 is 253357337799.

997733753352 is a `hidden beast` number, since 9 + 97 + 7 + 3 + 3 + 7 + 533 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 997733753352.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18445098 + ... + 18499110.

It is an arithmetic number, because the mean of its divisors is an integer number (13044381000).

Almost surely, 2^997733753352 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 997733753352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669680768000).

997733753352 is an abundant number, since it is smaller than the sum of its proper divisors (2341627782648).

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

997733753352 is a wasteful number, since it uses less digits than its factorization.

997733753352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54697 (or 54687 counting only the distinct ones).

The product of its digits is 112521150, while the sum is 63.

The spelling of 997733753352 in words is "nine hundred ninety-seven billion, seven hundred thirty-three million, seven hundred fifty-three thousand, three hundred fifty-two".