32498005248 has 144 divisors (see below), whose sum is σ = 96717664960. Its totient is φ = 10763311104.

The previous prime is 32498005247. The next prime is 32498005249. The reversal of 32498005248 is 84250089423.

32498005248 is a `hidden beast` number, since 3 + 2 + 49 + 80 + 0 + 524 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (32498005247) and next prime (32498005249).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×32498005248² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32498005247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070211 + ... + 1100157.

Almost surely, 2^32498005248 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 32498005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48358832480).

32498005248 is an abundant number, since it is smaller than the sum of its proper divisors (64219659712).

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

32498005248 is a wasteful number, since it uses less digits than its factorization.

32498005248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30129 (or 30109 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 32498005248 in words is "thirty-two billion, four hundred ninety-eight million, five thousand, two hundred forty-eight".