48845561881600 has 825 divisors, whose sum is σ = 140583900911585. Its totient is φ = 16827179212800.

The previous prime is 48845561881573. The next prime is 48845561881601. The reversal of 48845561881600 is 618816554884.

The square root of 48845561881600 is 6988960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17584402277376 + 31261159604224 = 4193376^2 + 5591168^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (48845561881601) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2570819046391 + ... + 2570819046409.

Almost surely, 2^{48845561881600} is an apocalyptic number.

48845561881600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48845561881600 is the 6988960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48845561881600

48845561881600 is an abundant number, since it is smaller than the sum of its proper divisors (91738339029985).

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

48845561881600 is an frugal number, since it uses more digits than its factorization.

48845561881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 64.

48845561881600 divided by its sum of digits (64) gives a square (763211904400 = 873620²).

The spelling of 48845561881600 in words is "forty-eight trillion, eight hundred forty-five billion, five hundred sixty-one million, eight hundred eighty-one thousand, six hundred".