2148428925504 has 189 divisors, whose sum is σ = 6213529876827. Its totient is φ = 709752296448.

The previous prime is 2148428925493. The next prime is 2148428925593. The reversal of 2148428925504 is 4055298248412.

It is a happy number.

The square root of 2148428925504 is 1465752.

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

2148428925504 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 4 + 2 + 89 + 2 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478255233600 + 1670173691904 = 691560^2 + 1292352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5522953342 + ... + 5522953730.

Almost surely, 2^{2148428925504} is an apocalyptic number.

2148428925504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2148428925504 is the 1465752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148428925504

2148428925504 is an abundant number, since it is smaller than the sum of its proper divisors (4065100951323).

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

2148428925504 is an frugal number, since it uses more digits than its factorization.

2148428925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 2148428925504 in words is "two trillion, one hundred forty-eight billion, four hundred twenty-eight million, nine hundred twenty-five thousand, five hundred four".