1101559400704 has 81 divisors (see below), whose sum is σ = 2558079153651. Its totient is φ = 472046507520.

The previous prime is 1101559400663. The next prime is 1101559400707. The reversal of 1101559400704 is 4070049551011.

The square root of 1101559400704 is 1049552.

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

It is a super-3 number, since 3×1101559400704³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1101559400707) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 117545139 + ... + 117554509.

Almost surely, 2^{1101559400704} is an apocalyptic number.

1101559400704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1101559400704 is the 1049552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101559400704

1101559400704 is an abundant number, since it is smaller than the sum of its proper divisors (1456519752947).

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

1101559400704 is an frugal number, since it uses more digits than its factorization.

1101559400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18772 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 1101559400704 in words is "one trillion, one hundred one billion, five hundred fifty-nine million, four hundred thousand, seven hundred four".