10648944145984 has 63 divisors (see below), whose sum is σ = 21661649002371. Its totient is φ = 5194084776960.

The previous prime is 10648944145969. The next prime is 10648944145999. The reversal of 10648944145984 is 48954144984601.

The square root of 10648944145984 is 3263272.

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

It is an interprime number because it is at equal distance from previous prime (10648944145969) and next prime (10648944145999).

It can be written as a sum of positive squares in 4 ways, for example, as 4107626385984 + 6541317760000 = 2026728^2 + 2557600^2 .

It is a super-2 number, since 2×10648944145984² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1070348242 + ... + 1070358190.

Almost surely, 2^{10648944145984} is an apocalyptic number.

10648944145984 is the 3263272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10648944145984

10648944145984 is an abundant number, since it is smaller than the sum of its proper divisors (11012704856387).

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

10648944145984 is an frugal number, since it uses more digits than its factorization.

10648944145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19992 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 67.

The spelling of 10648944145984 in words is "ten trillion, six hundred forty-eight billion, nine hundred forty-four million, one hundred forty-five thousand, nine hundred eighty-four".