2148358569984 has 405 divisors, whose sum is σ = 6841384346251. Its totient is φ = 649141616640.

The previous prime is 2148358569979. The next prime is 2148358569989. The reversal of 2148358569984 is 4899658538412.

The square root of 2148358569984 is 1465728.

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

2148358569984 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 3 + 58 + 569 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2148358569979) and next prime (2148358569989).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2148358569989) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6191234899 + ... + 6191235245.

Almost surely, 2^{2148358569984} is an apocalyptic number.

2148358569984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2148358569984 is the 1465728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148358569984

2148358569984 is an abundant number, since it is smaller than the sum of its proper divisors (4693025776267).

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

2148358569984 is an frugal number, since it uses more digits than its factorization.

2148358569984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 363 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 2148358569984 in words is "two trillion, one hundred forty-eight billion, three hundred fifty-eight million, five hundred sixty-nine thousand, nine hundred eighty-four".