1101063909792 has 768 divisors, whose sum is σ = 3876714971136. Its totient is φ = 265165824000.

The previous prime is 1101063909773. The next prime is 1101063909793. The reversal of 1101063909792 is 2979093601011.

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 (1101063909793) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1331394883 + ... + 1331395709.

It is an arithmetic number, because the mean of its divisors is an integer number (5047805952).

Almost surely, 2^{1101063909792} is an apocalyptic number.

1101063909792 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 1101063909792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938357485568).

1101063909792 is an abundant number, since it is smaller than the sum of its proper divisors (2775651061344).

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

1101063909792 is a wasteful number, since it uses less digits than its factorization.

1101063909792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The spelling of 1101063909792 in words is "one trillion, one hundred one billion, sixty-three million, nine hundred nine thousand, seven hundred ninety-two".