146350041600 has 480 divisors, whose sum is σ = 554028647040. Its totient is φ = 33360445440.

The previous prime is 146350041599. The next prime is 146350041619. The reversal of 146350041600 is 6140053641.

146350041600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 180901996 + ... + 180902804.

It is an arithmetic number, because the mean of its divisors is an integer number (1154226348).

Almost surely, 2^146350041600 is an apocalyptic number.

146350041600 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 146350041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277014323520).

146350041600 is an abundant number, since it is smaller than the sum of its proper divisors (407678605440).

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

146350041600 is an equidigital number, since it uses as much as digits as its factorization.

146350041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 146350041600 in words is "one hundred forty-six billion, three hundred fifty million, forty-one thousand, six hundred".