146308438656 has 48 divisors (see below), whose sum is σ = 421017776010. Its totient is φ = 48769479168.

The previous prime is 146308438609. The next prime is 146308438663. The reversal of 146308438656 is 656834803641.

146308438656 is a `hidden beast` number, since 146 + 3 + 0 + 8 + 438 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76295278656 + 70013160000 = 276216^2 + 264600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63500775 + ... + 63503078.

Almost surely, 2^146308438656 is an apocalyptic number.

146308438656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146308438656 is an abundant number, since it is smaller than the sum of its proper divisors (274709337354).

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

146308438656 is a wasteful number, since it uses less digits than its factorization.

146308438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127003873 (or 127003858 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 146308438656 in words is "one hundred forty-six billion, three hundred eight million, four hundred thirty-eight thousand, six hundred fifty-six".