61938647359104 has 512 divisors, whose sum is σ = 178745616000000. Its totient is φ = 18958526447616.

The previous prime is 61938647359079. The next prime is 61938647359139. The reversal of 61938647359104 is 40195374683916.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20314412172 + ... + 20314415220.

It is an arithmetic number, because the mean of its divisors is an integer number (349112531250).

Almost surely, 2^{61938647359104} is an apocalyptic number.

61938647359104 is a gapful number since it is divisible by the number (64) 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 61938647359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89372808000000).

61938647359104 is an abundant number, since it is smaller than the sum of its proper divisors (116806968640896).

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

61938647359104 is a wasteful number, since it uses less digits than its factorization.

61938647359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 61938647359104 in words is "sixty-one trillion, nine hundred thirty-eight billion, six hundred forty-seven million, three hundred fifty-nine thousand, one hundred four".