61302634848 has 288 divisors, whose sum is σ = 227182003776. Its totient is φ = 15216574464.

The previous prime is 61302634843. The next prime is 61302634849. The reversal of 61302634848 is 84843620316.

61302634848 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 2 + 634 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61302634843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376740 + ... + 514332.

It is an arithmetic number, because the mean of its divisors is an integer number (788826402).

Almost surely, 2^61302634848 is an apocalyptic number.

61302634848 is a gapful number since it is divisible by the number (68) 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 61302634848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113591001888).

61302634848 is an abundant number, since it is smaller than the sum of its proper divisors (165879368928).

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

61302634848 is a wasteful number, since it uses less digits than its factorization.

61302634848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137646 (or 137635 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 61302634848 in words is "sixty-one billion, three hundred two million, six hundred thirty-four thousand, eight hundred forty-eight".