146043014208 has 448 divisors, whose sum is σ = 502587402240. Its totient is φ = 36345397248.

The previous prime is 146043014147. The next prime is 146043014269. The reversal of 146043014208 is 802410340641.

It is an interprime number because it is at equal distance from previous prime (146043014147) and next prime (146043014269).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101913460 + ... + 101914892.

It is an arithmetic number, because the mean of its divisors is an integer number (1121846880).

Almost surely, 2^146043014208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146043014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251293701120).

146043014208 is an abundant number, since it is smaller than the sum of its proper divisors (356544388032).

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

146043014208 is a wasteful number, since it uses less digits than its factorization.

146043014208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 146043014208 its reverse (802410340641), we get a palindrome (948453354849).

The spelling of 146043014208 in words is "one hundred forty-six billion, forty-three million, fourteen thousand, two hundred eight".