46525151530240 has 144 divisors (see below), whose sum is σ = 114655001727168. Its totient is φ = 18081168703488.

The previous prime is 46525151530217. The next prime is 46525151530241. The reversal of 46525151530240 is 4203515152564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46525151530241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2544699 + ... + 9976261.

It is an arithmetic number, because the mean of its divisors is an integer number (796215289772).

Almost surely, 2^{46525151530240} is an apocalyptic number.

46525151530240 is a gapful number since it is divisible by the number (40) 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 46525151530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57327500863584).

46525151530240 is an abundant number, since it is smaller than the sum of its proper divisors (68129850196928).

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

46525151530240 is an equidigital number, since it uses as much as digits as its factorization.

46525151530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431724 (or 7431710 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 46525151530240 in words is "forty-six trillion, five hundred twenty-five billion, one hundred fifty-one million, five hundred thirty thousand, two hundred forty".