1038947998032 has 180 divisors, whose sum is σ = 3387965132916. Its totient is φ = 296347161600.

The previous prime is 1038947998021. The next prime is 1038947998069. The reversal of 1038947998032 is 2308997498301.

1038947998032 is a `hidden beast` number, since 1 + 0 + 3 + 89 + 479 + 9 + 80 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 966060957456 + 72887040576 = 982884^2 + 269976^2 .

It is a super-2 number, since 2×1038947998032² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4118158 + ... + 4363154.

Almost surely, 2^{1038947998032} is an apocalyptic number.

1038947998032 is a gapful number since it is divisible by the number (12) 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 1038947998032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693982566458).

1038947998032 is an abundant number, since it is smaller than the sum of its proper divisors (2349017134884).

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

1038947998032 is a wasteful number, since it uses less digits than its factorization.

1038947998032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245626 (or 245610 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1038947998032 in words is "one trillion, thirty-eight billion, nine hundred forty-seven million, nine hundred ninety-eight thousand, thirty-two".