61410014051100 has 288 divisors, whose sum is σ = 210809287342080. Its totient is φ = 13606039680000.

The previous prime is 61410014051063. The next prime is 61410014051123. The reversal of 61410014051100 is 115041001416.

61410014051100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61410014051100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2753580 + ... + 11419379.

It is an arithmetic number, because the mean of its divisors is an integer number (731976692160).

Almost surely, 2^{61410014051100} is an apocalyptic number.

61410014051100 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 61410014051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105404643671040).

61410014051100 is an abundant number, since it is smaller than the sum of its proper divisors (149399273290980).

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

61410014051100 is a wasteful number, since it uses less digits than its factorization.

61410014051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14173101 (or 14173094 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 61410014051100 its reverse (115041001416), we get a palindrome (61525055052516).

The spelling of 61410014051100 in words is "sixty-one trillion, four hundred ten billion, fourteen million, fifty-one thousand, one hundred".