48588626736 has 640 divisors, whose sum is σ = 168033689600. Its totient is φ = 13302558720.

The previous prime is 48588626731. The next prime is 48588626741. The reversal of 48588626736 is 63762688584.

48588626736 is a `hidden beast` number, since 48 + 588 + 6 + 2 + 6 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (48588626731) and next prime (48588626741).

It is not an unprimeable number, because it can be changed into a prime (48588626731) 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, 122389290 + ... + 122389686.

It is an arithmetic number, because the mean of its divisors is an integer number (262552640).

Almost surely, 2^48588626736 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 48588626736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84016844800).

48588626736 is an abundant number, since it is smaller than the sum of its proper divisors (119445062864).

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

48588626736 is a wasteful number, since it uses less digits than its factorization.

48588626736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 48588626736 in words is "forty-eight billion, five hundred eighty-eight million, six hundred twenty-six thousand, seven hundred thirty-six".