110477147877721 has 27 divisors (see below), whose sum is σ = 118708611407389. Its totient is φ = 102795395234048.

The previous prime is 110477147877689. The next prime is 110477147877737. The reversal of 110477147877721 is 127778741774011.

The square root of 110477147877721 is 10510811.

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

It can be written as a sum of positive squares in 4 ways, for example, as 145988947225 + 110331158930496 = 382085^2 + 10503864^2 .

It is not a de Polignac number, because 110477147877721 - 2⁵ = 110477147877689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110477147871721) 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, 15902853570 + ... + 15902860516.

Almost surely, 2^{110477147877721} is an apocalyptic number.

110477147877721 is the 10510811-st square number.

110477147877721 is the 5255406-th centered octagonal number.

It is an amenable number.

110477147877721 is a deficient number, since it is larger than the sum of its proper divisors (8231463529668).

110477147877721 is an frugal number, since it uses more digits than its factorization.

110477147877721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14106 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 30118144, while the sum is 64.

The spelling of 110477147877721 in words is "one hundred ten trillion, four hundred seventy-seven billion, one hundred forty-seven million, eight hundred seventy-seven thousand, seven hundred twenty-one".