146412464000 has 128 divisors (see below), whose sum is σ = 397111010400. Its totient is φ = 53240832000.

The previous prime is 146412463927. The next prime is 146412464027. The reversal of 146412464000 is 464214641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×146412464000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239945 + ... + 591944.

Almost surely, 2^146412464000 is an apocalyptic number.

146412464000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146412464000 is an abundant number, since it is smaller than the sum of its proper divisors (250698546400).

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

146412464000 is an equidigital number, since it uses as much as digits as its factorization.

146412464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831929 (or 831907 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 146412464000 its reverse (464214641), we get a palindrome (146876678641).

The spelling of 146412464000 in words is "one hundred forty-six billion, four hundred twelve million, four hundred sixty-four thousand".