1109467122816 has 256 divisors, whose sum is σ = 3486010752000. Its totient is φ = 309345619968.

The previous prime is 1109467122811. The next prime is 1109467122817. The reversal of 1109467122816 is 6182217649011.

It is a super-2 number, since 2×1109467122816² (a number of 25 digits) contains 22 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 (1109467122811) 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 31 ways as a sum of consecutive naturals, for example, 1927215 + ... + 2435793.

It is an arithmetic number, because the mean of its divisors is an integer number (13617229500).

Almost surely, 2^{1109467122816} is an apocalyptic number.

1109467122816 is a gapful number since it is divisible by the number (16) 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 1109467122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743005376000).

1109467122816 is an abundant number, since it is smaller than the sum of its proper divisors (2376543629184).

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

1109467122816 is a wasteful number, since it uses less digits than its factorization.

1109467122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508651 (or 508639 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 1109467122816 in words is "one trillion, one hundred nine billion, four hundred sixty-seven million, one hundred twenty-two thousand, eight hundred sixteen".