61335465459072 has 1024 divisors, whose sum is σ = 202768780032000. Its totient is φ = 16032265666560.

The previous prime is 61335465459071. The next prime is 61335465459109. The reversal of 61335465459072 is 27095456453316.

It is a junction number, because it is equal to n+sod(n) for n = 61335465458997 and 61335465459015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61335465459071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71403335379 + ... + 71403336237.

It is an arithmetic number, because the mean of its divisors is an integer number (198016386750).

Almost surely, 2^{61335465459072} 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 61335465459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101384390016000).

61335465459072 is an abundant number, since it is smaller than the sum of its proper divisors (141433314572928).

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

61335465459072 is a wasteful number, since it uses less digits than its factorization.

61335465459072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 61335465459072 in words is "sixty-one trillion, three hundred thirty-five billion, four hundred sixty-five million, four hundred fifty-nine thousand, seventy-two".