146852108352 has 168 divisors, whose sum is σ = 438352387200. Its totient is φ = 48744654336.

The previous prime is 146852108339. The next prime is 146852108363. The reversal of 146852108352 is 253801258641.

146852108352 is a `hidden beast` number, since 1 + 4 + 6 + 85 + 210 + 8 + 352 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146852108298 and 146852108307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3697174 + ... + 3736682.

It is an arithmetic number, because the mean of its divisors is an integer number (2609240400).

Almost surely, 2^146852108352 is an apocalyptic number.

146852108352 is a gapful number since it is divisible by the number (12) 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 146852108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219176193600).

146852108352 is an abundant number, since it is smaller than the sum of its proper divisors (291500278848).

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

146852108352 is an equidigital number, since it uses as much as digits as its factorization.

146852108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39775 (or 39753 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 146852108352 in words is "one hundred forty-six billion, eight hundred fifty-two million, one hundred eight thousand, three hundred fifty-two".