2148056640625 has 99 divisors (see below), whose sum is σ = 3170764095219. Its totient is φ = 1450968750000.

The previous prime is 2148056640619. The next prime is 2148056640659. The reversal of 2148056640625 is 5260466508412.

It is a happy number.

The square root of 2148056640625 is 1465625.

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

It can be written as a sum of positive squares in 5 ways, for example, as 12354989409 + 2135701651216 = 111153^2 + 1461404^2 .

It is not a de Polignac number, because 2148056640625 - 2⁵ = 2148056640593 is a prime.

It is a super-2 number, since 2×2148056640625² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 98 ways as a sum of consecutive naturals, for example, 32060546842 + ... + 32060546908.

Almost surely, 2^{2148056640625} is an apocalyptic number.

2148056640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2148056640625 is the 1465625-th square number.

2148056640625 is the 732813-rd centered octagonal number.

It is an amenable number.

2148056640625 is a deficient number, since it is larger than the sum of its proper divisors (1022707454594).

2148056640625 is an frugal number, since it uses more digits than its factorization.

2148056640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

Multiplying 2148056640625 by its sum of digits (49), we get a square (105254775390625 = 10259375²).

2148056640625 divided by its sum of digits (49) gives a square (43837890625 = 209375²).

The spelling of 2148056640625 in words is "two trillion, one hundred forty-eight billion, fifty-six million, six hundred forty thousand, six hundred twenty-five".