48016362240 has 1944 divisors, whose sum is σ = 229644258480. Its totient is φ = 9196830720.

The previous prime is 48016362239. The next prime is 48016362253. The reversal of 48016362240 is 4226361084.

48016362240 is a `hidden beast` number, since 48 + 0 + 16 + 362 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48016362195 and 48016362204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1297739502 + ... + 1297739538.

Almost surely, 2^48016362240 is an apocalyptic number.

48016362240 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 48016362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114822129240).

48016362240 is an abundant number, since it is smaller than the sum of its proper divisors (181627896240).

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

48016362240 is a wasteful number, since it uses less digits than its factorization.

48016362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 48016362240 in words is "forty-eight billion, sixteen million, three hundred sixty-two thousand, two hundred forty".