48847518810000 has 225 divisors, whose sum is σ = 170834161913701. Its totient is φ = 13025445888000.

The previous prime is 48847518809977. The next prime is 48847518810029. The reversal of 48847518810000 is 1881574884.

The square root of 48847518810000 is 6989100.

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

48847518810000 is a `hidden beast` number, since 4 + 8 + 8 + 47 + 518 + 81 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 48761674497936 + 85844312064 = 6982956^2 + 292992^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×48847518810000² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2096718352 + ... + 2096741648.

Almost surely, 2^{48847518810000} is an apocalyptic number.

48847518810000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48847518810000 is the 6989100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48847518810000

48847518810000 is an abundant number, since it is smaller than the sum of its proper divisors (121986643103701).

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

48847518810000 is an frugal number, since it uses more digits than its factorization.

48847518810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46628 (or 23307 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 48847518810000 in words is "forty-eight trillion, eight hundred forty-seven billion, five hundred eighteen million, eight hundred ten thousand".