4625806005506 has 288 divisors, whose sum is σ = 9371596449600. Its totient is φ = 1700362782720.

The previous prime is 4625806005473. The next prime is 4625806005511. The reversal of 4625806005506 is 6055006085264.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7194099221 + ... + 7194099863.

It is an arithmetic number, because the mean of its divisors is an integer number (32540265450).

Almost surely, 2^{4625806005506} is an apocalyptic number.

4625806005506 is an abundant number, since it is smaller than the sum of its proper divisors (4745790444094).

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

4625806005506 is a wasteful number, since it uses less digits than its factorization.

4625806005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 4625806005506 in words is "four trillion, six hundred twenty-five billion, eight hundred six million, five thousand, five hundred six".