816053869449 has 135 divisors (see below), whose sum is σ = 1536937680663. Its totient is φ = 430055746848.

The previous prime is 816053869427. The next prime is 816053869453. The reversal of 816053869449 is 944968350618.

The square root of 816053869449 is 903357.

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

816053869449 is a `hidden beast` number, since 8 + 1 + 6 + 0 + 538 + 6 + 94 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120718028025 + 695335841424 = 347445^2 + 833868^2 .

It is not a de Polignac number, because 816053869449 - 2⁷ = 816053869321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (816053869649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 739848832 + ... + 739849934.

Almost surely, 2^816053869449 is an apocalyptic number.

816053869449 is the 903357-th square number.

816053869449 is the 451679-th centered octagonal number.

It is an amenable number.

816053869449 is a deficient number, since it is larger than the sum of its proper divisors (720883811214).

816053869449 is an equidigital number, since it uses as much as digits as its factorization.

816053869449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 816053869449 in words is "eight hundred sixteen billion, fifty-three million, eight hundred sixty-nine thousand, four hundred forty-nine".