1100923464001 has 27 divisors (see below), whose sum is σ = 1155168123291. Its totient is φ = 1049181848064.

The previous prime is 1100923463989. The next prime is 1100923464023. The reversal of 1100923464001 is 1004643290011.

The square root of 1100923464001 is 1049249.

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 531804104001 + 569119360000 = 729249^2 + 754400^2 .

It is not a de Polignac number, because 1100923464001 - 2¹⁵ = 1100923431233 is a prime.

It is a super-2 number, since 2×1100923464001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100923467001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2951537251 + ... + 2951537623.

Almost surely, 2^{1100923464001} is an apocalyptic number.

1100923464001 is the 1049249-th square number.

1100923464001 is the 524625-th centered octagonal number.

It is an amenable number.

1100923464001 is a deficient number, since it is larger than the sum of its proper divisors (54244659290).

1100923464001 is an frugal number, since it uses more digits than its factorization.

1100923464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 1100923464001 in words is "one trillion, one hundred billion, nine hundred twenty-three million, four hundred sixty-four thousand, one".