1829959865664 has 112 divisors (see below), whose sum is σ = 5534139775488. Its totient is φ = 522780507648.

The previous prime is 1829959865659. The next prime is 1829959865743. The reversal of 1829959865664 is 4665689599281.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1829959865664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11266759 + ... + 11428025.

Almost surely, 2^{1829959865664} is an apocalyptic number.

1829959865664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1829959865664 is an abundant number, since it is smaller than the sum of its proper divisors (3704179909824).

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

1829959865664 is a wasteful number, since it uses less digits than its factorization.

1829959865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169732 (or 169722 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 78.

The spelling of 1829959865664 in words is "one trillion, eight hundred twenty-nine billion, nine hundred fifty-nine million, eight hundred sixty-five thousand, six hundred sixty-four".