116153306001 has 24 divisors (see below), whose sum is σ = 168219909000. Its totient is φ = 77231379456.

The previous prime is 116153305949. The next prime is 116153306023. The reversal of 116153306001 is 100603351611.

116153306001 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 53 + 3 + 0 + 600 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8821717776 + 107331588225 = 93924^2 + 327615^2 .

It is not a de Polignac number, because 116153306001 - 2⁶ = 116153305937 is a prime.

It is a super-2 number, since 2×116153306001² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116153308001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5726125 + ... + 5746373.

It is an arithmetic number, because the mean of its divisors is an integer number (7009162875).

Almost surely, 2^116153306001 is an apocalyptic number.

It is an amenable number.

116153306001 is a deficient number, since it is larger than the sum of its proper divisors (52066602999).

116153306001 is a wasteful number, since it uses less digits than its factorization.

116153306001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21905 (or 21902 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 116153306001 its reverse (100603351611), we get a palindrome (216756657612).

The spelling of 116153306001 in words is "one hundred sixteen billion, one hundred fifty-three million, three hundred six thousand, one".