146489666400 has 2160 divisors, whose sum is σ = 715086919008. Its totient is φ = 28466380800.

The previous prime is 146489666399. The next prime is 146489666443. The reversal of 146489666400 is 4666984641.

It is a happy number.

146489666400 is digitally balanced in base 2, 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 (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 933055122 + ... + 933055278.

Almost surely, 2^146489666400 is an apocalyptic number.

146489666400 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 146489666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357543459504).

146489666400 is an abundant number, since it is smaller than the sum of its proper divisors (568597252608).

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

146489666400 is a wasteful number, since it uses less digits than its factorization.

146489666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 146489666400 in words is "one hundred forty-six billion, four hundred eighty-nine million, six hundred sixty-six thousand, four hundred".