4958614484208 has 2400 divisors, whose sum is σ = 20072615270400. Its totient is φ = 1145771827200.

The previous prime is 4958614484147. The next prime is 4958614484221. The reversal of 4958614484208 is 8024844168594.

4958614484208 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 614 + 4 + 8 + 4 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62767271913 + ... + 62767271991.

It is an arithmetic number, because the mean of its divisors is an integer number (8363589696).

Almost surely, 2^{4958614484208} is an apocalyptic number.

4958614484208 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 4958614484208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036307635200).

4958614484208 is an abundant number, since it is smaller than the sum of its proper divisors (15114000786192).

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

4958614484208 is a wasteful number, since it uses less digits than its factorization.

4958614484208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 4958614484208 in words is "four trillion, nine hundred fifty-eight billion, six hundred fourteen million, four hundred eighty-four thousand, two hundred eight".