458245261656 has 384 divisors, whose sum is σ = 1578273984000. Its totient is φ = 120624671232.

The previous prime is 458245261609. The next prime is 458245261681. The reversal of 458245261656 is 656162542854.

458245261656 is a `hidden beast` number, since 4 + 5 + 82 + 452 + 61 + 6 + 56 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164303110 + ... + 164305898.

It is an arithmetic number, because the mean of its divisors is an integer number (4110088500).

Almost surely, 2^458245261656 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 458245261656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789136992000).

458245261656 is an abundant number, since it is smaller than the sum of its proper divisors (1120028722344).

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

458245261656 is a wasteful number, since it uses less digits than its factorization.

458245261656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3457 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 458245261656 in words is "four hundred fifty-eight billion, two hundred forty-five million, two hundred sixty-one thousand, six hundred fifty-six".