46220160800 has 162 divisors, whose sum is σ = 124204958577. Its totient is φ = 16783008000.

The previous prime is 46220160797. The next prime is 46220160803. The reversal of 46220160800 is 806102264.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (46220160797) and next prime (46220160803).

It can be written as a sum of positive squares in 2 ways, for example, as 45295757584 + 924403216 = 212828^2 + 30404^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=152020.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46220160803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66888455 + ... + 66889145.

Almost surely, 2^46220160800 is an apocalyptic number.

46220160800 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 46220160800

46220160800 is an abundant number, since it is smaller than the sum of its proper divisors (77984797777).

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

46220160800 is an equidigital number, since it uses as much as digits as its factorization.

46220160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Multiplying 46220160800 by its product of nonzero digits (4608), we get a square (212982500966400 = 14593920²).

The spelling of 46220160800 in words is "forty-six billion, two hundred twenty million, one hundred sixty thousand, eight hundred".