2045938497664 has 128 divisors (see below), whose sum is σ = 4447469300400. Its totient is φ = 933565169664.

The previous prime is 2045938497641. The next prime is 2045938497677. The reversal of 2045938497664 is 4667948395402.

It can be written as a sum of positive squares in 8 ways, for example, as 2030032243264 + 15906254400 = 1424792^2 + 126120^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2045938497664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23546652 + ... + 23633380.

Almost surely, 2^{2045938497664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045938497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223734650200).

2045938497664 is an abundant number, since it is smaller than the sum of its proper divisors (2401530802736).

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

2045938497664 is a wasteful number, since it uses less digits than its factorization.

2045938497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87090 (or 87078 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 2045938497664 in words is "two trillion, forty-five billion, nine hundred thirty-eight million, four hundred ninety-seven thousand, six hundred sixty-four".