4806251790336 has 420 divisors, whose sum is σ = 15170950611600. Its totient is φ = 1517692059648.

The previous prime is 4806251790287. The next prime is 4806251790371. The reversal of 4806251790336 is 6330971526084.

4806251790336 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 2 + 517 + 90 + 3 + 36 = 666.

It is a super-3 number, since 3×4806251790336³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 226924195 + ... + 226945373.

It is an arithmetic number, because the mean of its divisors is an integer number (36121310980).

It is a 1-persistent number, because it is pandigital, but 2⋅4806251790336 = 9612503580672 is not.

Almost surely, 2^{4806251790336} 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 4806251790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585475305800).

4806251790336 is an abundant number, since it is smaller than the sum of its proper divisors (10364698821264).

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

4806251790336 is an frugal number, since it uses more digits than its factorization.

4806251790336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21244 (or 21203 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4806251790336 in words is "four trillion, eight hundred six billion, two hundred fifty-one million, seven hundred ninety thousand, three hundred thirty-six".