11145006262845 has 576 divisors, whose sum is σ = 25907406819840. Its totient is φ = 4502179584000.

The previous prime is 11145006262843. The next prime is 11145006262853. The reversal of 11145006262845 is 54826260054111.

11145006262845 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 500 + 6 + 2 + 62 + 84 + 5 = 666.

It is not a de Polignac number, because 11145006262845 - 2¹ = 11145006262843 is a prime.

It is a super-2 number, since 2×11145006262845² (a number of 27 digits) contains 22 as substring.

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 11145006262845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145006262843) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52819934790 + ... + 52819935000.

It is an arithmetic number, because the mean of its divisors is an integer number (44978136840).

Almost surely, 2^{11145006262845} is an apocalyptic number.

11145006262845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11145006262845 is an abundant number, since it is smaller than the sum of its proper divisors (14762400556995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11145006262845 is a wasteful number, since it uses less digits than its factorization.

11145006262845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11145006262845 in words is "eleven trillion, one hundred forty-five billion, six million, two hundred sixty-two thousand, eight hundred forty-five".