1658431415601 has 135 divisors (see below), whose sum is σ = 2783797405851. Its totient is φ = 983591496576.

The previous prime is 1658431415593. The next prime is 1658431415603. The reversal of 1658431415601 is 1065141348561.

The square root of 1658431415601 is 1287801.

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

1658431415601 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 4 + 31 + 4 + 1 + 5 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1291166327025 + 367265088576 = 1136295^2 + 606024^2 .

It is not a de Polignac number, because 1658431415601 - 2³ = 1658431415593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1658431415603) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3743637286 + ... + 3743637728.

Almost surely, 2^{1658431415601} is an apocalyptic number.

1658431415601 is the 1287801-st square number.

1658431415601 is the 643901-st centered octagonal number.

It is an amenable number.

1658431415601 is a deficient number, since it is larger than the sum of its proper divisors (1125365990250).

1658431415601 is an frugal number, since it uses more digits than its factorization.

1658431415601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1658431415601 in words is "one trillion, six hundred fifty-eight billion, four hundred thirty-one million, four hundred fifteen thousand, six hundred one".