13602007848100 has 729 divisors, whose sum is σ = 37663185653793. Its totient is φ = 4250804019840.

The previous prime is 13602007848089. The next prime is 13602007848101. The reversal of 13602007848100 is 184870020631.

The square root of 13602007848100 is 3688090.

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., 4896722825316 + 8705285022784 = 2212854^2 + 2950472^2 .

It is a super-2 number, since 2×13602007848100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13602007848101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 230542505871 + ... + 230542505929.

Almost surely, 2^{13602007848100} is an apocalyptic number.

13602007848100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13602007848100 is the 3688090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13602007848100

13602007848100 is an abundant number, since it is smaller than the sum of its proper divisors (24061177805693).

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

13602007848100 is a wasteful number, since it uses less digits than its factorization.

13602007848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

Adding to 13602007848100 its reverse (184870020631), we get a palindrome (13786877868731).

The spelling of 13602007848100 in words is "thirteen trillion, six hundred two billion, seven million, eight hundred forty-eight thousand, one hundred".