2145908571664 has 225 divisors, whose sum is σ = 4976112965201. Its totient is φ = 895810755840.

The previous prime is 2145908571647. The next prime is 2145908571721. The reversal of 2145908571664 is 4661758095412.

The square root of 2145908571664 is 1464892.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1366233699600 + 779674872064 = 1168860^2 + 882992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2145908571599 and 2145908571608.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10892936814 + ... + 10892937010.

Almost surely, 2^{2145908571664} is an apocalyptic number.

2145908571664 is the 1464892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145908571664

2145908571664 is an abundant number, since it is smaller than the sum of its proper divisors (2830204393537).

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

2145908571664 is an frugal number, since it uses more digits than its factorization.

2145908571664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 2145908571664 in words is "two trillion, one hundred forty-five billion, nine hundred eight million, five hundred seventy-one thousand, six hundred sixty-four".