146664535680 has 448 divisors, whose sum is σ = 566150434920. Its totient is φ = 36100546560.

The previous prime is 146664535679. The next prime is 146664535687. The reversal of 146664535680 is 86535466641.

It can be written as a sum of positive squares in 4 ways, for example, as 108789148224 + 37875387456 = 329832^2 + 194616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (146664535687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6053190 + ... + 6077370.

Almost surely, 2^146664535680 is an apocalyptic number.

146664535680 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 146664535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283075217460).

146664535680 is an abundant number, since it is smaller than the sum of its proper divisors (419485899240).

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

146664535680 is an equidigital number, since it uses as much as digits as its factorization.

146664535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24204 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 146664535680 in words is "one hundred forty-six billion, six hundred sixty-four million, five hundred thirty-five thousand, six hundred eighty".