1121067915968 has 448 divisors, whose sum is σ = 3096485145600. Its totient is φ = 388595957760.

The previous prime is 1121067915967. The next prime is 1121067916009. The reversal of 1121067915968 is 8695197601211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (1121067915967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258367943 + ... + 258372281.

It is an arithmetic number, because the mean of its divisors is an integer number (6911797200).

Almost surely, 2^{1121067915968} 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 1121067915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548242572800).

1121067915968 is an abundant number, since it is smaller than the sum of its proper divisors (1975417229632).

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

1121067915968 is a wasteful number, since it uses less digits than its factorization.

1121067915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 56.

The spelling of 1121067915968 in words is "one trillion, one hundred twenty-one billion, sixty-seven million, nine hundred fifteen thousand, nine hundred sixty-eight".