46365208320 has 288 divisors, whose sum is σ = 151061182272. Its totient is φ = 12117344256.

The previous prime is 46365208301. The next prime is 46365208321. The reversal of 46365208320 is 2380256364.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46365208321) 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 31 ways as a sum of consecutive naturals, for example, 54101332 + ... + 54102188.

It is an arithmetic number, because the mean of its divisors is an integer number (524517994).

Almost surely, 2^46365208320 is an apocalyptic number.

46365208320 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 46365208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75530591136).

46365208320 is an abundant number, since it is smaller than the sum of its proper divisors (104695973952).

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

46365208320 is a wasteful number, since it uses less digits than its factorization.

46365208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 46365208320 in words is "forty-six billion, three hundred sixty-five million, two hundred eight thousand, three hundred twenty".