1100012319864 has 128 divisors (see below), whose sum is σ = 3217979424000. Its totient is φ = 347202847872.

The previous prime is 1100012319853. The next prime is 1100012319871. The reversal of 1100012319864 is 4689132100011.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8484294 + ... + 8612970.

It is an arithmetic number, because the mean of its divisors is an integer number (25140464250).

Almost surely, 2^{1100012319864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100012319864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608989712000).

1100012319864 is an abundant number, since it is smaller than the sum of its proper divisors (2117967104136).

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

1100012319864 is a wasteful number, since it uses less digits than its factorization.

1100012319864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130794 (or 130784 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 1100012319864 its reverse (4689132100011), we get a palindrome (5789144419875).

The spelling of 1100012319864 in words is "one trillion, one hundred billion, twelve million, three hundred nineteen thousand, eight hundred sixty-four".