61313939456 has 192 divisors, whose sum is σ = 153486627840. Its totient is φ = 23789076480.

The previous prime is 61313939437. The next prime is 61313939461. The reversal of 61313939456 is 65493931316.

It is a super-2 number, since 2×61313939456² (a number of 22 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46204265 + ... + 46205591.

It is an arithmetic number, because the mean of its divisors is an integer number (799409520).

Almost surely, 2^61313939456 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 61313939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76743313920).

61313939456 is an abundant number, since it is smaller than the sum of its proper divisors (92172688384).

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

61313939456 is a wasteful number, since it uses less digits than its factorization.

61313939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1640 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 50.

The spelling of 61313939456 in words is "sixty-one billion, three hundred thirteen million, nine hundred thirty-nine thousand, four hundred fifty-six".