10902946445521 has 81 divisors (see below), whose sum is σ = 12788808059601. Its totient is φ = 9289023853824.

The previous prime is 10902946445497. The next prime is 10902946445527. The reversal of 10902946445521 is 12554464920901.

The square root of 10902946445521 is 3301961.

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

It can be written as a sum of positive squares in 4 ways, for example, as 98445965121 + 10804500480400 = 313761^2 + 3287020^2 .

It is not a de Polignac number, because 10902946445521 - 2¹⁵ = 10902946412753 is a prime.

It is a super-2 number, since 2×10902946445521² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10902946445527) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48892136416 + ... + 48892136638.

Almost surely, 2^{10902946445521} is an apocalyptic number.

10902946445521 is the 3301961-st square number.

10902946445521 is the 1650981-st centered octagonal number.

It is an amenable number.

10902946445521 is a deficient number, since it is larger than the sum of its proper divisors (1885861614080).

10902946445521 is an frugal number, since it uses more digits than its factorization.

10902946445521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 10902946445521 in words is "ten trillion, nine hundred two billion, nine hundred forty-six million, four hundred forty-five thousand, five hundred twenty-one".