4048634016 has 360 divisors, whose sum is σ = 14015586816. Its totient is φ = 1143072000.

The previous prime is 4048633999. The next prime is 4048634033. The reversal of 4048634016 is 6104368404.

4048634016 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 634 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (4048633999) and next prime (4048634033).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16129891 + ... + 16130141.

Almost surely, 2^4048634016 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 4048634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007793408).

4048634016 is an abundant number, since it is smaller than the sum of its proper divisors (9966952800).

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

4048634016 is a wasteful number, since it uses less digits than its factorization.

4048634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

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

The square root of 4048634016 is about 63628.8772178168. The cubic root of 4048634016 is about 1593.8086268814.

The spelling of 4048634016 in words is "four billion, forty-eight million, six hundred thirty-four thousand, sixteen".