48084565248 has 540 divisors, whose sum is σ = 157179348480. Its totient is φ = 14579066880.

The previous prime is 48084565183. The next prime is 48084565259. The reversal of 48084565248 is 84256548084.

48084565248 is a `hidden beast` number, since 480 + 84 + 5 + 65 + 24 + 8 = 666.

It is a super-3 number, since 3×48084565248³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48084565194 and 48084565203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 378618561 + ... + 378618687.

Almost surely, 2^48084565248 is an apocalyptic number.

48084565248 is a gapful number since it is divisible by the number (48) 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 48084565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78589674240).

48084565248 is an abundant number, since it is smaller than the sum of its proper divisors (109094783232).

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

48084565248 is a wasteful number, since it uses less digits than its factorization.

48084565248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 182 counting only the distinct ones).

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

The spelling of 48084565248 in words is "forty-eight billion, eighty-four million, five hundred sixty-five thousand, two hundred forty-eight".