48948451552 has 576 divisors, whose sum is σ = 138339145728. Its totient is φ = 16533504000.

The previous prime is 48948451549. The next prime is 48948451571. The reversal of 48948451552 is 25515484984.

It is a junction number, because it is equal to n+sod(n) for n = 48948451493 and 48948451502.

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, 802433602 + ... + 802433662.

It is an arithmetic number, because the mean of its divisors is an integer number (240172128).

Almost surely, 2^48948451552 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 48948451552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69169572864).

48948451552 is an abundant number, since it is smaller than the sum of its proper divisors (89390694176).

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

48948451552 is a wasteful number, since it uses less digits than its factorization.

48948451552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 55.

It can be divided in two parts, 48948 and 451552, that added together give a triangular number (500500 = T₁₀₀₀).

The spelling of 48948451552 in words is "forty-eight billion, nine hundred forty-eight million, four hundred fifty-one thousand, five hundred fifty-two".