10046338803216 has 45 divisors (see below), whose sum is σ = 28115901846669. Its totient is φ = 3348766922688.

The previous prime is 10046338803097. The next prime is 10046338803227. The reversal of 10046338803216 is 61230883364001.

The square root of 10046338803216 is 3169596.

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

10046338803216 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 633 + 8 + 8 + 0 + 3 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7742306250000 + 2304032553216 = 2782500^2 + 1517904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37903086 + ... + 38167218.

Almost surely, 2^{10046338803216} is an apocalyptic number.

10046338803216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10046338803216 is the 3169596-th square number.

It is an amenable number.

10046338803216 is an abundant number, since it is smaller than the sum of its proper divisors (18069563043453).

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

10046338803216 is an frugal number, since it uses more digits than its factorization.

10046338803216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528280 (or 264138 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10046338803216 in words is "ten trillion, forty-six billion, three hundred thirty-eight million, eight hundred three thousand, two hundred sixteen".