993551148 has 72 divisors (see below), whose sum is σ = 2628513888. Its totient is φ = 315836928.

The previous prime is 993551129. The next prime is 993551177. The reversal of 993551148 is 841155399.

993551148 is a `hidden beast` number, since 9 + 93 + 5 + 511 + 48 = 666.

993551148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×993551148³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307236 + ... + 310452.

Almost surely, 2^993551148 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 993551148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314256944).

993551148 is an abundant number, since it is smaller than the sum of its proper divisors (1634962740).

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

993551148 is a wasteful number, since it uses less digits than its factorization.

993551148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3618 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 993551148 is about 31520.6463766211. The cubic root of 993551148 is about 997.8457451854.

The spelling of 993551148 in words is "nine hundred ninety-three million, five hundred fifty-one thousand, one hundred forty-eight".