61449948608004 has 144 divisors (see below), whose sum is σ = 169915151165760. Its totient is φ = 18570443616000.

The previous prime is 61449948607991. The next prime is 61449948608039. The reversal of 61449948608004 is 40080684994416.

61449948608004 is a `hidden beast` number, since 6 + 1 + 4 + 499 + 4 + 8 + 60 + 80 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330515982 + ... + 330701850.

It is an arithmetic number, because the mean of its divisors is an integer number (1179966327540).

Almost surely, 2^{61449948608004} 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 61449948608004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84957575582880).

61449948608004 is an abundant number, since it is smaller than the sum of its proper divisors (108465202557756).

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

61449948608004 is a wasteful number, since it uses less digits than its factorization.

61449948608004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188162 (or 188157 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 61449948608004 in words is "sixty-one trillion, four hundred forty-nine billion, nine hundred forty-eight million, six hundred eight thousand, four".