61337745804888 has 1152 divisors, whose sum is σ = 216358152192000. Its totient is φ = 16185056912640.

The previous prime is 61337745804871. The next prime is 61337745804893. The reversal of 61337745804888 is 88840854773316.

61337745804888 is a `hidden beast` number, since 6 + 1 + 3 + 37 + 7 + 4 + 580 + 4 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42040949103 + ... + 42040950561.

It is an arithmetic number, because the mean of its divisors is an integer number (187810896000).

Almost surely, 2^{61337745804888} 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 61337745804888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108179076096000).

61337745804888 is an abundant number, since it is smaller than the sum of its proper divisors (155020406387112).

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

61337745804888 is a wasteful number, since it uses less digits than its factorization.

61337745804888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 61337745804888 in words is "sixty-one trillion, three hundred thirty-seven billion, seven hundred forty-five million, eight hundred four thousand, eight hundred eighty-eight".