48337857897840 has 480 divisors, whose sum is σ = 193934215987200. Its totient is φ = 10556897495040.

The previous prime is 48337857897817. The next prime is 48337857897851. The reversal of 48337857897840 is 4879875873384.

48337857897840 is a `hidden beast` number, since 4 + 8 + 3 + 37 + 8 + 578 + 9 + 7 + 8 + 4 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48337857897840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10384846 + ... + 14301074.

It is an arithmetic number, because the mean of its divisors is an integer number (404029616640).

Almost surely, 2^{48337857897840} is an apocalyptic number.

48337857897840 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 48337857897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96967107993600).

48337857897840 is an abundant number, since it is smaller than the sum of its proper divisors (145596358089360).

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

48337857897840 is a wasteful number, since it uses less digits than its factorization.

48337857897840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916365 (or 3916356 counting only the distinct ones).

The product of its (nonzero) digits is 9103933440, while the sum is 81.

The spelling of 48337857897840 in words is "forty-eight trillion, three hundred thirty-seven billion, eight hundred fifty-seven million, eight hundred ninety-seven thousand, eight hundred forty".