4800936738816 has 357 divisors, whose sum is σ = 14441671606621. Its totient is φ = 1595263942656.

The previous prime is 4800936738799. The next prime is 4800936738821. The reversal of 4800936738816 is 6188376390084.

The square root of 4800936738816 is 2191104.

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

4800936738816 is a `hidden beast` number, since 480 + 0 + 9 + 3 + 6 + 73 + 8 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268738560000 + 4532198178816 = 518400^2 + 2128896^2 .

It is a super-2 number, since 2×4800936738816² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15144910690 + ... + 15144911006.

Almost surely, 2^{4800936738816} is an apocalyptic number.

4800936738816 is the 2191104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800936738816

4800936738816 is an abundant number, since it is smaller than the sum of its proper divisors (9640734867805).

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

4800936738816 is an frugal number, since it uses more digits than its factorization.

4800936738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4800936738816 in words is "four trillion, eight hundred billion, nine hundred thirty-six million, seven hundred thirty-eight thousand, eight hundred sixteen".