61338956614544 has 240 divisors, whose sum is σ = 143120618444160. Its totient is φ = 24937789593600.

The previous prime is 61338956614531. The next prime is 61338956614549. The reversal of 61338956614544 is 44541665983316.

61338956614544 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 2×61338956614544² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61338956614549) 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 47 ways as a sum of consecutive naturals, for example, 7364500172 + ... + 7364508500.

It is an arithmetic number, because the mean of its divisors is an integer number (596335910184).

Almost surely, 2^{61338956614544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61338956614544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560309222080).

61338956614544 is an abundant number, since it is smaller than the sum of its proper divisors (81781661829616).

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

61338956614544 is a wasteful number, since it uses less digits than its factorization.

61338956614544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9713 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 65.

The spelling of 61338956614544 in words is "sixty-one trillion, three hundred thirty-eight billion, nine hundred fifty-six million, six hundred fourteen thousand, five hundred forty-four".