146342246400 has 1080 divisors, whose sum is σ = 628299551880. Its totient is φ = 32978534400.

The previous prime is 146342246381. The next prime is 146342246503. The reversal of 146342246400 is 4642243641.

146342246400 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 2 + 2 + 4 + 640 + 0 = 666.

146342246400 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 (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2061158365 + ... + 2061158435.

Almost surely, 2^146342246400 is an apocalyptic number.

146342246400 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 146342246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314149775940).

146342246400 is an abundant number, since it is smaller than the sum of its proper divisors (481957305480).

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

146342246400 is an frugal number, since it uses more digits than its factorization.

146342246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 146342246400 in words is "one hundred forty-six billion, three hundred forty-two million, two hundred forty-six thousand, four hundred".