119293382466801 has 9 divisors (see below), whose sum is σ = 172312710892491. Its totient is φ = 79528899800232.

The previous prime is 119293382466721. The next prime is 119293382466809. The reversal of 119293382466801 is 108664283392911.

The square root of 119293382466801 is 10922151.

It is a perfect power (a square), and thus also a powerful number.

119293382466801 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 93 + 3 + 8 + 2 + 466 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94123856045025 + 25169526421776 = 9701745^2 + 5016924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 119293382466801 - 2³⁷ = 119155943513329 is a prime.

It is a super-2 number, since 2×119293382466801² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (119293382466809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30946095 + ... + 34586811.

Almost surely, 2^{119293382466801} is an apocalyptic number.

119293382466801 is the 10922151-st square number.

119293382466801 is the 5461076-th centered octagonal number.

It is an amenable number.

119293382466801 is a deficient number, since it is larger than the sum of its proper divisors (53019328425690).

119293382466801 is an frugal number, since it uses more digits than its factorization.

119293382466801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281440 (or 3640720 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 119293382466801 in words is "one hundred nineteen trillion, two hundred ninety-three billion, three hundred eighty-two million, four hundred sixty-six thousand, eight hundred one".