146668001600 has 42 divisors (see below), whose sum is σ = 360894955374. Its totient is φ = 58667200000.

The previous prime is 146668001593. The next prime is 146668001677. The reversal of 146668001600 is 6100866641.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 107661376 + 146560340224 = 10376^2 + 382832^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45832151 + ... + 45835350.

Almost surely, 2^146668001600 is an apocalyptic number.

146668001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146668001600 is an abundant number, since it is smaller than the sum of its proper divisors (214226953774).

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

146668001600 is an equidigital number, since it uses as much as digits as its factorization.

146668001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91667523 (or 91667508 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 146668001600 in words is "one hundred forty-six billion, six hundred sixty-eight million, one thousand, six hundred".