61331638417088 has 112 divisors (see below), whose sum is σ = 137146428840960. Its totient is φ = 27000750695424.

The previous prime is 61331638417039. The next prime is 61331638417139. The reversal of 61331638417088 is 88071483613316.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2405981 + ... + 11333667.

It is an arithmetic number, because the mean of its divisors is an integer number (1224521686080).

Almost surely, 2^{61331638417088} 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 61331638417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68573214420480).

61331638417088 is an abundant number, since it is smaller than the sum of its proper divisors (75814790423872).

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

61331638417088 is a wasteful number, since it uses less digits than its factorization.

61331638417088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928094 (or 8928084 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 59.

The spelling of 61331638417088 in words is "sixty-one trillion, three hundred thirty-one billion, six hundred thirty-eight million, four hundred seventeen thousand, eighty-eight".