10240645544145 has 48 divisors (see below), whose sum is σ = 17791681190400. Its totient is φ = 5448997175040.

The previous prime is 10240645544123. The next prime is 10240645544149. The reversal of 10240645544145 is 54144554604201.

10240645544145 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 64 + 5 + 544 + 1 + 45 = 666.

It is not a de Polignac number, because 10240645544145 - 2¹⁵ = 10240645511377 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 10240645544145.

It is not an unprimeable number, because it can be changed into a prime (10240645544149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95672266 + ... + 95779244.

It is an arithmetic number, because the mean of its divisors is an integer number (370660024800).

Almost surely, 2^{10240645544145} is an apocalyptic number.

10240645544145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10240645544145 is a deficient number, since it is larger than the sum of its proper divisors (7551035646255).

10240645544145 is a wasteful number, since it uses less digits than its factorization.

10240645544145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111910 (or 111907 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 10240645544145 in words is "ten trillion, two hundred forty billion, six hundred forty-five million, five hundred forty-four thousand, one hundred forty-five".