2187748642816 has 195 divisors, whose sum is σ = 4837757485015. Its totient is φ = 989224755200.

The previous prime is 2187748642777. The next prime is 2187748642823. The reversal of 2187748642816 is 6182468477812.

It is a happy number.

The square root of 2187748642816 is 1479104.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11454181281 + ... + 11454181471.

Almost surely, 2^{2187748642816} is an apocalyptic number.

2187748642816 is the 1479104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187748642816

2187748642816 is an abundant number, since it is smaller than the sum of its proper divisors (2650008842199).

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

2187748642816 is an frugal number, since it uses more digits than its factorization.

2187748642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 204 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 64.

Multiplying 2187748642816 by its sum of digits (64), we get a square (140015913140224 = 11832832²).

2187748642816 divided by its sum of digits (64) gives a square (34183572544 = 184888²).

The spelling of 2187748642816 in words is "two trillion, one hundred eighty-seven billion, seven hundred forty-eight million, six hundred forty-two thousand, eight hundred sixteen".