48412272087144 has 384 divisors, whose sum is σ = 158784537600000. Its totient is φ = 13017087949824.

The previous prime is 48412272087121. The next prime is 48412272087229. The reversal of 48412272087144 is 44178027221484.

48412272087144 is a `hidden beast` number, since 4 + 8 + 412 + 2 + 7 + 2 + 0 + 87 + 144 = 666.

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, 936037717 + ... + 936089435.

It is an arithmetic number, because the mean of its divisors is an integer number (413501400000).

Almost surely, 2^{48412272087144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48412272087144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79392268800000).

48412272087144 is an abundant number, since it is smaller than the sum of its proper divisors (110372265512856).

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

48412272087144 is a wasteful number, since it uses less digits than its factorization.

48412272087144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52405 (or 52398 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 48412272087144 in words is "forty-eight trillion, four hundred twelve billion, two hundred seventy-two million, eighty-seven thousand, one hundred forty-four".