146848316160 has 1152 divisors, whose sum is σ = 612831098880. Its totient is φ = 29132587008.

The previous prime is 146848316159. The next prime is 146848316161. The reversal of 146848316160 is 61613848641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146848316159) and next prime (146848316161).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (146848316161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 435751512 + ... + 435751848.

It is an arithmetic number, because the mean of its divisors is an integer number (531971440).

Almost surely, 2^146848316160 is an apocalyptic number.

146848316160 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 146848316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306415549440).

146848316160 is an abundant number, since it is smaller than the sum of its proper divisors (465982782720).

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

146848316160 is a wasteful number, since it uses less digits than its factorization.

146848316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 146848316160 in words is "one hundred forty-six billion, eight hundred forty-eight million, three hundred sixteen thousand, one hundred sixty".