48108225853440 has 672 divisors, whose sum is σ = 177094181824560. Its totient is φ = 12530431033344.

The previous prime is 48108225853427. The next prime is 48108225853489. The reversal of 48108225853440 is 4435852280184.

48108225853440 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 8 + 22 + 585 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320918344 + ... + 321068216.

Almost surely, 2^{48108225853440} is an apocalyptic number.

48108225853440 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 48108225853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88547090912280).

48108225853440 is an abundant number, since it is smaller than the sum of its proper divisors (128985955971120).

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

48108225853440 is an equidigital number, since it uses as much as digits as its factorization.

48108225853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149961 (or 149926 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 48108225853440 in words is "forty-eight trillion, one hundred eight billion, two hundred twenty-five million, eight hundred fifty-three thousand, four hundred forty".