146699809920 has 288 divisors, whose sum is σ = 510406320060. Its totient is φ = 38826086400.

The previous prime is 146699809859. The next prime is 146699809931. The reversal of 146699809920 is 29908996641.

146699809920 is a `hidden beast` number, since 1 + 466 + 9 + 9 + 80 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128720218176 + 17979591744 = 358776^2 + 134088^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131333202 + ... + 131334318.

Almost surely, 2^146699809920 is an apocalyptic number.

146699809920 is a gapful number since it is divisible by the number (10) 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 146699809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255203160030).

146699809920 is an abundant number, since it is smaller than the sum of its proper divisors (363706510140).

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

146699809920 is a wasteful number, since it uses less digits than its factorization.

146699809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 146699809920 in words is "one hundred forty-six billion, six hundred ninety-nine million, eight hundred nine thousand, nine hundred twenty".