61485613056 has 608 divisors, whose sum is σ = 223472090880. Its totient is φ = 16307453952.

The previous prime is 61485613027. The next prime is 61485613061. The reversal of 61485613056 is 65031658416.

61485613056 is a `hidden beast` number, since 6 + 1 + 4 + 8 + 561 + 30 + 56 = 666.

It is a super-2 number, since 2×61485613056² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842268636 + ... + 842268708.

Almost surely, 2^61485613056 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 61485613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111736045440).

61485613056 is an abundant number, since it is smaller than the sum of its proper divisors (161986477824).

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

61485613056 is an frugal number, since it uses more digits than its factorization.

61485613056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 61485 and 613056, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 61485613056 in words is "sixty-one billion, four hundred eighty-five million, six hundred thirteen thousand, fifty-six".