200146816080 has 160 divisors (see below), whose sum is σ = 689569614720. Its totient is φ = 53358935040.

The previous prime is 200146816073. The next prime is 200146816097. The reversal of 200146816080 is 80618641002.

200146816080 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 46 + 8 + 1 + 608 + 0 = 666.

It is a super-2 number, since 2×200146816080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 10797220 + ... + 10815740.

It is an arithmetic number, because the mean of its divisors is an integer number (4309810092).

Almost surely, 2^200146816080 is an apocalyptic number.

200146816080 is a gapful number since it is divisible by the number (20) 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 200146816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344784807360).

200146816080 is an abundant number, since it is smaller than the sum of its proper divisors (489422798640).

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

200146816080 is a wasteful number, since it uses less digits than its factorization.

200146816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23546 (or 23534 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 200146816080 in words is "two hundred billion, one hundred forty-six million, eight hundred sixteen thousand, eighty".