1829623028961 has 192 divisors, whose sum is σ = 3190161408000. Its totient is φ = 931183029504.

The previous prime is 1829623028953. The next prime is 1829623028999. The reversal of 1829623028961 is 1698203269281.

It is not a de Polignac number, because 1829623028961 - 2³ = 1829623028953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1829623028911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 817159680 + ... + 817161918.

It is an arithmetic number, because the mean of its divisors is an integer number (16615424000).

Almost surely, 2^{1829623028961} is an apocalyptic number.

It is an amenable number.

1829623028961 is a deficient number, since it is larger than the sum of its proper divisors (1360538379039).

1829623028961 is a wasteful number, since it uses less digits than its factorization.

1829623028961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 1829623028961 in words is "one trillion, eight hundred twenty-nine billion, six hundred twenty-three million, twenty-eight thousand, nine hundred sixty-one".