10038467069316 has 81 divisors (see below), whose sum is σ = 29518264703109. Its totient is φ = 2868095428128.

The previous prime is 10038467069297. The next prime is 10038467069329. The reversal of 10038467069316 is 61396076483001.

It is a happy number.

The square root of 10038467069316 is 3168354.

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

10038467069316 is a `hidden beast` number, since 100 + 3 + 8 + 467 + 0 + 69 + 3 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9847232280900 + 191234788416 = 3138030^2 + 437304^2 .

It is a super-3 number, since 3×10038467069316³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133033150 + ... + 133108586.

Almost surely, 2^{10038467069316} is an apocalyptic number.

10038467069316 is the 3168354-th square number.

It is an amenable number.

10038467069316 is an abundant number, since it is smaller than the sum of its proper divisors (19479797633793).

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

10038467069316 is an frugal number, since it uses more digits than its factorization.

10038467069316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150898 (or 75449 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 10038467069316 in words is "ten trillion, thirty-eight billion, four hundred sixty-seven million, sixty-nine thousand, three hundred sixteen".