13765658244100 has 81 divisors (see below), whose sum is σ = 34749110059797. Its totient is φ = 4719565210080.

The previous prime is 13765658244077. The next prime is 13765658244101. The reversal of 13765658244100 is 144285656731.

The square root of 13765658244100 is 3710210.

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

It can be written as a sum of positive squares in only one way, i.e., 4955636967876 + 8810021276224 = 2226126^2 + 2968168^2 .

It is not an unprimeable number, because it can be changed into a prime (13765658244101) 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, 259688199 + ... + 259741201.

Almost surely, 2^{13765658244100} is an apocalyptic number.

13765658244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13765658244100 is the 3710210-th square number.

It is an amenable number.

13765658244100 is an abundant number, since it is smaller than the sum of its proper divisors (20983451815697).

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

13765658244100 is an frugal number, since it uses more digits than its factorization.

13765658244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106034 (or 53017 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 13765658244100 in words is "thirteen trillion, seven hundred sixty-five billion, six hundred fifty-eight million, two hundred forty-four thousand, one hundred".