1132417350801 has 63 divisors (see below), whose sum is σ = 1866752088537. Its totient is φ = 686121998760.

The previous prime is 1132417350769. The next prime is 1132417350803. The reversal of 1132417350801 is 1080537142311.

The square root of 1132417350801 is 1064151.

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

1132417350801 is a `hidden beast` number, since 1 + 132 + 4 + 17 + 3 + 508 + 0 + 1 = 666.

It is not a de Polignac number, because 1132417350801 - 2⁵ = 1132417350769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1132417350803) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 316051056 + ... + 316054638.

Almost surely, 2^{1132417350801} is an apocalyptic number.

1132417350801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1132417350801 is the 1064151-st square number.

1132417350801 is the 532076-th centered octagonal number.

It is an amenable number.

1132417350801 is a deficient number, since it is larger than the sum of its proper divisors (734334737736).

1132417350801 is an frugal number, since it uses more digits than its factorization.

1132417350801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7206 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 1132417350801 by its sum of digits (36), we get a square (40767024628836 = 6384906²).

The spelling of 1132417350801 in words is "one trillion, one hundred thirty-two billion, four hundred seventeen million, three hundred fifty thousand, eight hundred one".