146355849216 has 480 divisors, whose sum is σ = 462356294400. Its totient is φ = 46032814080.

The previous prime is 146355849191. The next prime is 146355849223. The reversal of 146355849216 is 612948553641.

146355849216 is a `hidden beast` number, since 1 + 4 + 6 + 35 + 584 + 9 + 21 + 6 = 666.

146355849216 is digitally balanced in base 7, 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339572521 + ... + 339572951.

It is an arithmetic number, because the mean of its divisors is an integer number (963242280).

Almost surely, 2^146355849216 is an apocalyptic number.

146355849216 is a gapful number since it is divisible by the number (16) 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 146355849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231178147200).

146355849216 is an abundant number, since it is smaller than the sum of its proper divisors (316000445184).

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

146355849216 is an equidigital number, since it uses as much as digits as its factorization.

146355849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 548 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 146355849216 in words is "one hundred forty-six billion, three hundred fifty-five million, eight hundred forty-nine thousand, two hundred sixteen".