1101164465712 has 160 divisors (see below), whose sum is σ = 3136989648384. Its totient is φ = 331391692800.

The previous prime is 1101164465701. The next prime is 1101164465759. The reversal of 1101164465712 is 2175644611011.

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, 1886787 + ... + 2400477.

Almost surely, 2^{1101164465712} is an apocalyptic number.

1101164465712 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 1101164465712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568494824192).

1101164465712 is an abundant number, since it is smaller than the sum of its proper divisors (2035825182672).

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

1101164465712 is a wasteful number, since it uses less digits than its factorization.

1101164465712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513827 (or 513821 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 1101164465712 in words is "one trillion, one hundred one billion, one hundred sixty-four million, four hundred sixty-five thousand, seven hundred twelve".