61645056838900 has 36 divisors (see below), whose sum is σ = 134191760076108. Its totient is φ = 24580237162240.

The previous prime is 61645056838891. The next prime is 61645056838933. The reversal of 61645056838900 is 983865054616.

61645056838900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 25007240524176 + 36637816314724 = 5000724^2 + 6052918^2 .

It is a super-2 number, since 2×61645056838900² (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 11 ways as a sum of consecutive naturals, for example, 972287809 + ... + 972351208.

It is an arithmetic number, because the mean of its divisors is an integer number (3727548891003).

Almost surely, 2^{61645056838900} is an apocalyptic number.

It is an amenable number.

61645056838900 is an abundant number, since it is smaller than the sum of its proper divisors (72546703237208).

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

61645056838900 is a wasteful number, since it uses less digits than its factorization.

61645056838900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944639348 (or 1944639341 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 61.

The spelling of 61645056838900 in words is "sixty-one trillion, six hundred forty-five billion, fifty-six million, eight hundred thirty-eight thousand, nine hundred".