1829093906436 has 12 divisors (see below), whose sum is σ = 4267885781712. Its totient is φ = 609697968808.

The previous prime is 1829093906429. The next prime is 1829093906447. The reversal of 1829093906436 is 6346093909281.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1829093906436² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1829093906436.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76212246090 + ... + 76212246113.

It is an arithmetic number, because the mean of its divisors is an integer number (355657148476).

Almost surely, 2^{1829093906436} is an apocalyptic number.

It is an amenable number.

1829093906436 is an abundant number, since it is smaller than the sum of its proper divisors (2438791875276).

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

1829093906436 is a wasteful number, since it uses less digits than its factorization.

1829093906436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152424492210 (or 152424492208 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 1829093906436 in words is "one trillion, eight hundred twenty-nine billion, ninety-three million, nine hundred six thousand, four hundred thirty-six".