325146513630240 has 72 divisors (see below), whose sum is σ = 1109562477768108. Its totient is φ = 86705736967680.

The previous prime is 325146513630227. The next prime is 325146513630299. The reversal of 325146513630240 is 42036315641523.

325146513630240 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 4 + 6 + 5 + 1 + 3 + 630 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 299731243311504 + 25415270318736 = 17312748^2 + 5041356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×325146513630240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112898093571 + ... + 112898096450.

Almost surely, 2^{325146513630240} is an apocalyptic number.

325146513630240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325146513630240 is an abundant number, since it is smaller than the sum of its proper divisors (784415964137868).

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

325146513630240 is a wasteful number, since it uses less digits than its factorization.

325146513630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225796190042 (or 225796190031 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 325146513630240 in words is "three hundred twenty-five trillion, one hundred forty-six billion, five hundred thirteen million, six hundred thirty thousand, two hundred forty".