48618726357600 has 792 divisors, whose sum is σ = 203469605080560. Its totient is φ = 11112776156160.

The previous prime is 48618726357587. The next prime is 48618726357631. The reversal of 48618726357600 is 675362781684.

48618726357600 is a `hidden beast` number, since 4 + 8 + 6 + 18 + 7 + 2 + 6 + 3 + 5 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 330600886 + ... + 330747914.

Almost surely, 2^{48618726357600} is an apocalyptic number.

48618726357600 is a gapful number since it is divisible by the number (40) 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 48618726357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101734802540280).

48618726357600 is an abundant number, since it is smaller than the sum of its proper divisors (154850878722960).

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

48618726357600 is an equidigital number, since it uses as much as digits as its factorization.

48618726357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147086 (or 147046 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 48618726357600 in words is "forty-eight trillion, six hundred eighteen billion, seven hundred twenty-six million, three hundred fifty-seven thousand, six hundred".