385141456184101 has 8 divisors (see below), whose sum is σ = 385275679983000. Its totient is φ = 385007237879040.

The previous prime is 385141456184063. The next prime is 385141456184161. The reversal of 385141456184101 is 101481654141583.

It can be written as a sum of positive squares in 4 ways, for example, as 102265184390625 + 282876271793476 = 10112625^2 + 16818926^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 385141456184101 - 2¹¹ = 385141456182053 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 (385141456184161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141443985 + ... + 144141193.

It is an arithmetic number, because the mean of its divisors is an integer number (48159459997875).

Almost surely, 2^{385141456184101} is an apocalyptic number.

It is an amenable number.

385141456184101 is a deficient number, since it is larger than the sum of its proper divisors (134223798899).

385141456184101 is a wasteful number, since it uses less digits than its factorization.

385141456184101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746919.

The product of its (nonzero) digits is 1843200, while the sum is 52.

The spelling of 385141456184101 in words is "three hundred eighty-five trillion, one hundred forty-one billion, four hundred fifty-six million, one hundred eighty-four thousand, one hundred one".