61113101013600 has 288 divisors, whose sum is σ = 207176923328256. Its totient is φ = 15633041356800.

The previous prime is 61113101013593. The next prime is 61113101013659. The reversal of 61113101013600 is 631010131116.

61113101013600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61113101013600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458247 + ... + 11151353.

It is an arithmetic number, because the mean of its divisors is an integer number (719364317112).

Almost surely, 2^{61113101013600} is an apocalyptic number.

61113101013600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61113101013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103588461664128).

61113101013600 is an abundant number, since it is smaller than the sum of its proper divisors (146063822314656).

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

61113101013600 is a wasteful number, since it uses less digits than its factorization.

61113101013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9693238 (or 9693225 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 61113101013600 its reverse (631010131116), we get a palindrome (61744111144716).

The spelling of 61113101013600 in words is "sixty-one trillion, one hundred thirteen billion, one hundred one million, thirteen thousand, six hundred".