20145483210384 has 405 divisors, whose sum is σ = 68137606934787. Its totient is φ = 5752943880768.

The previous prime is 20145483210343. The next prime is 20145483210427. The reversal of 20145483210384 is 48301238454102.

The square root of 20145483210384 is 4488372.

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

20145483210384 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 54 + 8 + 3 + 210 + 384 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10179626707 + ... + 10179628685.

Almost surely, 2^{20145483210384} is an apocalyptic number.

20145483210384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20145483210384 is the 4488372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20145483210384

20145483210384 is an abundant number, since it is smaller than the sum of its proper divisors (47992123724403).

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

20145483210384 is an frugal number, since it uses more digits than its factorization.

20145483210384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 20145483210384 in words is "twenty trillion, one hundred forty-five billion, four hundred eighty-three million, two hundred ten thousand, three hundred eighty-four".