4904559461376 has 891 divisors, whose sum is σ = 15997445102821. Its totient is φ = 1446840434688.

The previous prime is 4904559461339. The next prime is 4904559461411. The reversal of 4904559461376 is 6731649554094.

It is a happy number.

The square root of 4904559461376 is 2214624.

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

4904559461376 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 5 + 5 + 9 + 4 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3818428646400 + 1086130814976 = 1954080^2 + 1042176^2 .

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 80 ways as a sum of consecutive naturals, for example, 83128126435 + ... + 83128126493.

Almost surely, 2^{4904559461376} is an apocalyptic number.

4904559461376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4904559461376 is the 2214624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4904559461376

4904559461376 is an abundant number, since it is smaller than the sum of its proper divisors (11092885641445).

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

4904559461376 is a wasteful number, since it uses less digits than its factorization.

4904559461376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4904559461376 in words is "four trillion, nine hundred four billion, five hundred fifty-nine million, four hundred sixty-one thousand, three hundred seventy-six".