2094121563664 has 135 divisors (see below), whose sum is σ = 4669967926677. Its totient is φ = 909107976192.

The previous prime is 2094121563643. The next prime is 2094121563689. The reversal of 2094121563664 is 4663651214902.

The square root of 2094121563664 is 1447108.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2080806250000 + 13315313664 = 1442500^2 + 115392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1279242654 + ... + 1279244290.

Almost surely, 2^{2094121563664} is an apocalyptic number.

2094121563664 is the 1447108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2094121563664

2094121563664 is an abundant number, since it is smaller than the sum of its proper divisors (2575846363013).

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

2094121563664 is an equidigital number, since it uses as much as digits as its factorization.

2094121563664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 2094121563664 by its sum of digits (49), we get a square (102611956619536 = 10129756²).

The spelling of 2094121563664 in words is "two trillion, ninety-four billion, one hundred twenty-one million, five hundred sixty-three thousand, six hundred sixty-four".