1146117721617 has 96 divisors (see below), whose sum is σ = 1897626931200. Its totient is φ = 660238128000.

The previous prime is 1146117721597. The next prime is 1146117721621. The reversal of 1146117721617 is 7161277116411.

1146117721617 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 1 + 7 + 7 + 21 + 617 = 666.

It is not a de Polignac number, because 1146117721617 - 2¹¹ = 1146117719569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1146117721817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71754442 + ... + 71770412.

It is an arithmetic number, because the mean of its divisors is an integer number (19766947200).

Almost surely, 2^{1146117721617} is an apocalyptic number.

It is an amenable number.

1146117721617 is a deficient number, since it is larger than the sum of its proper divisors (751509209583).

1146117721617 is a wasteful number, since it uses less digits than its factorization.

1146117721617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16435 (or 16432 counting only the distinct ones).

The product of its digits is 98784, while the sum is 45.

The spelling of 1146117721617 in words is "one trillion, one hundred forty-six billion, one hundred seventeen million, seven hundred twenty-one thousand, six hundred seventeen".