146448166788 has 432 divisors, whose sum is σ = 494058015360. Its totient is φ = 35701585920.

The previous prime is 146448166729. The next prime is 146448166817. The reversal of 146448166788 is 887661844641.

146448166788 is a `hidden beast` number, since 1 + 46 + 448 + 16 + 67 + 88 = 666.

146448166788 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 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 143 ways as a sum of consecutive naturals, for example, 65465206 + ... + 65467442.

Almost surely, 2^146448166788 is an apocalyptic number.

146448166788 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 146448166788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247029007680).

146448166788 is an abundant number, since it is smaller than the sum of its proper divisors (347609848572).

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

146448166788 is a wasteful number, since it uses less digits than its factorization.

146448166788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2392 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

It can be divided in two parts, 146448 and 166788, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 146448166788 in words is "one hundred forty-six billion, four hundred forty-eight million, one hundred sixty-six thousand, seven hundred eighty-eight".