1145416166721 has 6 divisors (see below), whose sum is σ = 1654490018610. Its totient is φ = 763610777808.

The previous prime is 1145416166717. The next prime is 1145416166731. The reversal of 1145416166721 is 1276616145411.

1145416166721 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 1 + 616 + 6 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1031331647025 + 114084519696 = 1015545^2 + 337764^2 .

It is not a de Polignac number, because 1145416166721 - 2² = 1145416166717 is a prime.

It is a super-3 number, since 3×1145416166721³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145416166731) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63634231476 + ... + 63634231493.

It is an arithmetic number, because the mean of its divisors is an integer number (275748336435).

Almost surely, 2^{1145416166721} is an apocalyptic number.

It is an amenable number.

1145416166721 is a deficient number, since it is larger than the sum of its proper divisors (509073851889).

1145416166721 is a wasteful number, since it uses less digits than its factorization.

1145416166721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127268462975 (or 127268462972 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 1145416166721 in words is "one trillion, one hundred forty-five billion, four hundred sixteen million, one hundred sixty-six thousand, seven hundred twenty-one".