146004446246400 has 960 divisors, whose sum is σ = 613164979215360. Its totient is φ = 33334330982400.

The previous prime is 146004446246387. The next prime is 146004446246401. The reversal of 146004446246400 is 4642644400641.

146004446246400 is a `hidden beast` number, since 14 + 6 + 0 + 0 + 4 + 4 + 4 + 624 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146004446246401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2145796380 + ... + 2145864420.

It is an arithmetic number, because the mean of its divisors is an integer number (638713520016).

Almost surely, 2^{146004446246400} is an apocalyptic number.

146004446246400 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 146004446246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306582489607680).

146004446246400 is an abundant number, since it is smaller than the sum of its proper divisors (467160532968960).

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

146004446246400 is an equidigital number, since it uses as much as digits as its factorization.

146004446246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68972 (or 68945 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 146004446246400 in words is "one hundred forty-six trillion, four billion, four hundred forty-six million, two hundred forty-six thousand, four hundred".