4906248034590 has 960 divisors, whose sum is σ = 16173384514560. Its totient is φ = 1068680874240.

The previous prime is 4906248034577. The next prime is 4906248034603. The reversal of 4906248034590 is 954308426094.

4906248034590 is a `hidden beast` number, since 4 + 9 + 0 + 6 + 2 + 48 + 0 + 3 + 4 + 590 = 666.

It is an interprime number because it is at equal distance from previous prime (4906248034577) and next prime (4906248034603).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18104236155 + ... + 18104236425.

It is an arithmetic number, because the mean of its divisors is an integer number (16847275536).

Almost surely, 2^{4906248034590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4906248034590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086692257280).

4906248034590 is an abundant number, since it is smaller than the sum of its proper divisors (11267136479970).

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

4906248034590 is a wasteful number, since it uses less digits than its factorization.

4906248034590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4906248034590 in words is "four trillion, nine hundred six billion, two hundred forty-eight million, thirty-four thousand, five hundred ninety".