38401144610265 has 60 divisors (see below), whose sum is σ = 71960675030244. Its totient is φ = 19590149025216.

The previous prime is 38401144610263. The next prime is 38401144610291. The reversal of 38401144610265 is 56201644110483.

38401144610265 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 1 + 4 + 4 + 610 + 26 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11682614624256 + 26718529986009 = 3417984^2 + 5168997^2 .

It is not a de Polignac number, because 38401144610265 - 2¹ = 38401144610263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 38401144610265.

It is not an unprimeable number, because it can be changed into a prime (38401144610263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89405454 + ... + 89833943.

Almost surely, 2^{38401144610265} is an apocalyptic number.

It is an amenable number.

38401144610265 is a deficient number, since it is larger than the sum of its proper divisors (33559530419979).

38401144610265 is a wasteful number, since it uses less digits than its factorization.

38401144610265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179239460 (or 179239428 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38401144610265 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-four million, six hundred ten thousand, two hundred sixty-five".