1111007749104 has 480 divisors, whose sum is σ = 3573671270400. Its totient is φ = 330163891200.

The previous prime is 1111007749081. The next prime is 1111007749123. The reversal of 1111007749104 is 4019477001111.

It is a super-2 number, since 2×1111007749104² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609438337 + ... + 609440159.

It is an arithmetic number, because the mean of its divisors is an integer number (7445148480).

Almost surely, 2^{1111007749104} 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 1111007749104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786835635200).

1111007749104 is an abundant number, since it is smaller than the sum of its proper divisors (2462663521296).

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

1111007749104 is a wasteful number, since it uses less digits than its factorization.

1111007749104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 1111007749104 in words is "one trillion, one hundred eleven billion, seven million, seven hundred forty-nine thousand, one hundred four".