48561778573632 has 448 divisors, whose sum is σ = 145046515656960. Its totient is φ = 15930669662208.

The previous prime is 48561778573631. The next prime is 48561778573687. The reversal of 48561778573632 is 23637587716584.

48561778573632 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 17 + 7 + 8 + 573 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48561778573631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29131240063 + ... + 29131241729.

Almost surely, 2^{48561778573632} 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 48561778573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72523257828480).

48561778573632 is an abundant number, since it is smaller than the sum of its proper divisors (96484737083328).

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

48561778573632 is a wasteful number, since it uses less digits than its factorization.

48561778573632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2751 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 48561778573632 in words is "forty-eight trillion, five hundred sixty-one billion, seven hundred seventy-eight million, five hundred seventy-three thousand, six hundred thirty-two".