4618886658048 has 768 divisors, whose sum is σ = 16012039680000. Its totient is φ = 1302844538880.

The previous prime is 4618886657971. The next prime is 4618886658059. The reversal of 4618886658048 is 8408566888164.

4618886658048 is a `hidden beast` number, since 461 + 8 + 8 + 86 + 6 + 5 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4618886658048² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423396018 + ... + 423406926.

It is an arithmetic number, because the mean of its divisors is an integer number (20849010000).

Almost surely, 2^{4618886658048} is an apocalyptic number.

4618886658048 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 4618886658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006019840000).

4618886658048 is an abundant number, since it is smaller than the sum of its proper divisors (11393153021952).

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

4618886658048 is a wasteful number, since it uses less digits than its factorization.

4618886658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11003 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 72.

The spelling of 4618886658048 in words is "four trillion, six hundred eighteen billion, eight hundred eighty-six million, six hundred fifty-eight thousand, forty-eight".