49505360004 has 135 divisors (see below), whose sum is σ = 132733608007. Its totient is φ = 16089275376.

The previous prime is 49505359999. The next prime is 49505360029. The reversal of 49505360004 is 40006350594.

It is a happy number.

The square root of 49505360004 is 222498.

It is a perfect power (a square), and thus also a powerful number.

49505360004 is a `hidden beast` number, since 49 + 5 + 0 + 5 + 3 + 600 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 188233177 + ... + 188233439.

Almost surely, 2^49505360004 is an apocalyptic number.

49505360004 is the 222498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49505360004

49505360004 is an abundant number, since it is smaller than the sum of its proper divisors (83228248003).

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

49505360004 is an equidigital number, since it uses as much as digits as its factorization.

49505360004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 49505360004 by its sum of digits (36), we get a square (1782192960144 = 1334988²).

49505360004 divided by its sum of digits (36) gives a square (1375148889 = 37083²).

The spelling of 49505360004 in words is "forty-nine billion, five hundred five million, three hundred sixty thousand, four".