48031706988288 has 648 divisors, whose sum is σ = 146787406627680. Its totient is φ = 15099833548800.

The previous prime is 48031706988269. The next prime is 48031706988301. The reversal of 48031706988288 is 88288960713084.

48031706988288 is a `hidden beast` number, since 48 + 0 + 3 + 170 + 69 + 88 + 288 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13991174220 + ... + 13991177652.

It is an arithmetic number, because the mean of its divisors is an integer number (226523775660).

Almost surely, 2^{48031706988288} is an apocalyptic number.

48031706988288 is a gapful number since it is divisible by the number (48) 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 48031706988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73393703313840).

48031706988288 is an abundant number, since it is smaller than the sum of its proper divisors (98755699639392).

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

48031706988288 is a wasteful number, since it uses less digits than its factorization.

48031706988288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 48031706988288 in words is "forty-eight trillion, thirty-one billion, seven hundred six million, nine hundred eighty-eight thousand, two hundred eighty-eight".