48258391971840 has 384 divisors, whose sum is σ = 164917713804480. Its totient is φ = 12004710416384.

The previous prime is 48258391971781. The next prime is 48258391971893. The reversal of 48258391971840 is 4817919385284.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58604242 + ... + 59421998.

Almost surely, 2^{48258391971840} is an apocalyptic number.

48258391971840 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 48258391971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82458856902240).

48258391971840 is an abundant number, since it is smaller than the sum of its proper divisors (116659321832640).

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

48258391971840 is a wasteful number, since it uses less digits than its factorization.

48258391971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817917 (or 817897 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 48258391971840 in words is "forty-eight trillion, two hundred fifty-eight billion, three hundred ninety-one million, nine hundred seventy-one thousand, eight hundred forty".