114115624001 has 2 divisors, whose sum is σ = 114115624002. Its totient is φ = 114115624000.

The previous prime is 114115623989. The next prime is 114115624031. The reversal of 114115624001 is 100426511411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100844353600 + 13271270401 = 317560^2 + 115201^2 .

It is an emirp because it is prime and its reverse (100426511411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114115624001 - 2¹⁰ = 114115622977 is a prime.

It is a super-2 number, since 2×114115624001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114115624031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57057812000 + 57057812001.

It is an arithmetic number, because the mean of its divisors is an integer number (57057812001).

Almost surely, 2^114115624001 is an apocalyptic number.

It is an amenable number.

114115624001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114115624001 is an equidigital number, since it uses as much as digits as its factorization.

114115624001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 114115624001 in words is "one hundred fourteen billion, one hundred fifteen million, six hundred twenty-four thousand, one".