1133779000032 has 384 divisors, whose sum is σ = 3832651468800. Its totient is φ = 319381843968.

The previous prime is 1133779000007. The next prime is 1133779000051. The reversal of 1133779000032 is 2300009773311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200772633 + ... + 200778279.

It is an arithmetic number, because the mean of its divisors is an integer number (9980863200).

Almost surely, 2^{1133779000032} is an apocalyptic number.

1133779000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133779000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916325734400).

1133779000032 is an abundant number, since it is smaller than the sum of its proper divisors (2698872468768).

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

1133779000032 is a wasteful number, since it uses less digits than its factorization.

1133779000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 1133779000032 in words is "one trillion, one hundred thirty-three billion, seven hundred seventy-nine million, thirty-two", and thus it is an aban number.