146476593648 has 560 divisors, whose sum is σ = 547714086912. Its totient is φ = 36811584000.

The previous prime is 146476593623. The next prime is 146476593661. The reversal of 146476593648 is 846395674641.

146476593648 is a `hidden beast` number, since 1 + 46 + 476 + 59 + 36 + 48 = 666.

146476593648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27839338 + ... + 27844598.

Almost surely, 2^146476593648 is an apocalyptic number.

146476593648 is a gapful number since it is divisible by the number (18) 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 146476593648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273857043456).

146476593648 is an abundant number, since it is smaller than the sum of its proper divisors (401237493264).

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

146476593648 is a wasteful number, since it uses less digits than its factorization.

146476593648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5315 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 146476593648 in words is "one hundred forty-six billion, four hundred seventy-six million, five hundred ninety-three thousand, six hundred forty-eight".