11874252072301 has 16 divisors (see below), whose sum is σ = 12031189700400. Its totient is φ = 11718137088000.

The previous prime is 11874252072209. The next prime is 11874252072307. The reversal of 11874252072301 is 10327025247811.

11874252072301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4345978259401 + 7528273812900 = 2084701^2 + 2743770^2 .

It is a cyclic number.

It is not a de Polignac number, because 11874252072301 - 2⁷ = 11874252072173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11874252072307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47029885 + ... + 47281693.

It is an arithmetic number, because the mean of its divisors is an integer number (751949356275).

Almost surely, 2^{11874252072301} is an apocalyptic number.

It is an amenable number.

11874252072301 is a deficient number, since it is larger than the sum of its proper divisors (156937628099).

11874252072301 is a wasteful number, since it uses less digits than its factorization.

11874252072301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253440.

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 11874252072301 in words is "eleven trillion, eight hundred seventy-four billion, two hundred fifty-two million, seventy-two thousand, three hundred one".