816629446352448 has 84 divisors (see below), whose sum is σ = 2416227985586688. Its totient is φ = 263428853656320.

The previous prime is 816629446352437. The next prime is 816629446352449. The reversal of 816629446352448 is 844253644926618.

816629446352448 is a `hidden beast` number, since 8 + 1 + 6 + 6 + 2 + 94 + 4 + 6 + 3 + 524 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (816629446352449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22867070136 + ... + 22867105847.

It is an arithmetic number, because the mean of its divisors is an integer number (28764618876032).

Almost surely, 2^{816629446352448} is an apocalyptic number.

It is an amenable number.

816629446352448 is an abundant number, since it is smaller than the sum of its proper divisors (1599598539234240).

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

816629446352448 is a wasteful number, since it uses less digits than its factorization.

816629446352448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45734176032 (or 45734176019 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 72.

The spelling of 816629446352448 in words is "eight hundred sixteen trillion, six hundred twenty-nine billion, four hundred forty-six million, three hundred fifty-two thousand, four hundred forty-eight".