1833505968 has 40 divisors (see below), whose sum is σ = 5413209088. Its totient is φ = 523858752.

The previous prime is 1833505967. The next prime is 1833505969. The reversal of 1833505968 is 8695053381.

It is an interprime number because it is at equal distance from previous prime (1833505967) and next prime (1833505969).

It is a super-3 number, since 3×1833505968³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1833505967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2728096 + ... + 2728767.

Almost surely, 2^1833505968 is an apocalyptic number.

It is an amenable number.

1833505968 is an abundant number, since it is smaller than the sum of its proper divisors (3579703120).

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

1833505968 is a wasteful number, since it uses less digits than its factorization.

1833505968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456881 (or 5456875 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 1833505968 is about 42819.4578200145. The cubic root of 1833505968 is about 1223.9418251645.

The spelling of 1833505968 in words is "one billion, eight hundred thirty-three million, five hundred five thousand, nine hundred sixty-eight".