48746016 has 192 divisors, whose sum is σ = 162570240. Its totient is φ = 14065920.

The previous prime is 48745997. The next prime is 48746023. The reversal of 48746016 is 61064784.

48746016 is a `hidden beast` number, since 48 + 7 + 4 + 601 + 6 = 666.

48746016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218481 + ... + 218703.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^48746016 is an apocalyptic number.

48746016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

48746016 is the 4416-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

48746016 is an abundant number, since it is smaller than the sum of its proper divisors (113824224).

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

48746016 is a wasteful number, since it uses less digits than its factorization.

48746016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48746016 is about 6981.8347158895. The cubic root of 48746016 is about 365.2972270898.

The spelling of 48746016 in words is "forty-eight million, seven hundred forty-six thousand, sixteen".