146556500004 has 18 divisors (see below), whose sum is σ = 370462263990. Its totient is φ = 48852166656.

The previous prime is 146556499963. The next prime is 146556500009. The reversal of 146556500004 is 400005655641.

146556500004 is a `hidden beast` number, since 146 + 5 + 5 + 6 + 500 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73575477504 + 72981022500 = 271248^2 + 270150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4071013889 = 146556500004 / (1 + 4 + 6 + 5 + 5 + 6 + 5 + 0 + 0 + 0 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (146556500009) 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 5 ways as a sum of consecutive naturals, for example, 2035506909 + ... + 2035506980.

Almost surely, 2^146556500004 is an apocalyptic number.

It is an amenable number.

146556500004 is an abundant number, since it is smaller than the sum of its proper divisors (223905763986).

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

146556500004 is a wasteful number, since it uses less digits than its factorization.

146556500004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071013899 (or 4071013894 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 146556500004 in words is "one hundred forty-six billion, five hundred fifty-six million, five hundred thousand, four".