10544775441984 has 945 divisors, whose sum is σ = 38728274201793. Its totient is φ = 2828088152064.

The previous prime is 10544775441923. The next prime is 10544775442037. The reversal of 10544775441984 is 48914457744501.

The square root of 10544775441984 is 3247272.

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

10544775441984 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 7 + 7 + 544 + 1 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8209600257600 + 2335175184384 = 2865240^2 + 1528128^2 .

It is a super-2 number, since 2×10544775441984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27822626307 + ... + 27822626685.

Almost surely, 2^{10544775441984} is an apocalyptic number.

10544775441984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10544775441984 is the 3247272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544775441984

10544775441984 is an abundant number, since it is smaller than the sum of its proper divisors (28183498759809).

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

10544775441984 is an frugal number, since it uses more digits than its factorization.

10544775441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 10544775441984 in words is "ten trillion, five hundred forty-four billion, seven hundred seventy-five million, four hundred forty-one thousand, nine hundred eighty-four".