2189945551248 has 720 divisors, whose sum is σ = 8328005942256. Its totient is φ = 530319605760.

The previous prime is 2189945551223. The next prime is 2189945551253. The reversal of 2189945551248 is 8421555499812.

2189945551248 is a `hidden beast` number, since 2 + 1 + 8 + 99 + 455 + 51 + 2 + 48 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 494085279744 + 1695860271504 = 702912^2 + 1302252^2 .

It is a super-4 number, since 4×2189945551248⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63917290 + ... + 63951542.

Almost surely, 2^{2189945551248} is an apocalyptic number.

2189945551248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189945551248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164002971128).

2189945551248 is an abundant number, since it is smaller than the sum of its proper divisors (6138060391008).

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

2189945551248 is a wasteful number, since it uses less digits than its factorization.

2189945551248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34352 (or 34336 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 63.

The spelling of 2189945551248 in words is "two trillion, one hundred eighty-nine billion, nine hundred forty-five million, five hundred fifty-one thousand, two hundred forty-eight".