146443982400 has 315 divisors, whose sum is σ = 538798107441. Its totient is φ = 39014991360.

The previous prime is 146443982389. The next prime is 146443982401. The reversal of 146443982400 is 4289344641.

The square root of 146443982400 is 382680.

It is a perfect power (a square), and thus also a powerful number.

146443982400 is a `hidden beast` number, since 14 + 6 + 4 + 4 + 398 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52719833664 + 93724148736 = 229608^2 + 306144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (146443982401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137764269 + ... + 137765331.

Almost surely, 2^146443982400 is an apocalyptic number.

146443982400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146443982400 is the 382680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146443982400

146443982400 is an abundant number, since it is smaller than the sum of its proper divisors (392354125041).

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

146443982400 is an frugal number, since it uses more digits than its factorization.

146443982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 146443982400 in words is "one hundred forty-six billion, four hundred forty-three million, nine hundred eighty-two thousand, four hundred".