1845229131360 has 1152 divisors, whose sum is σ = 7069287633408. Its totient is φ = 452874240000.

The previous prime is 1845229131337. The next prime is 1845229131367. The reversal of 1845229131360 is 631319225481.

1845229131360 is a `hidden beast` number, since 1 + 8 + 4 + 522 + 91 + 3 + 1 + 36 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1845229131367) 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 191 ways as a sum of consecutive naturals, for example, 8745161655 + ... + 8745161865.

It is an arithmetic number, because the mean of its divisors is an integer number (6136534404).

Almost surely, 2^{1845229131360} is an apocalyptic number.

1845229131360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1845229131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534643816704).

1845229131360 is an abundant number, since it is smaller than the sum of its proper divisors (5224058502048).

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

1845229131360 is a wasteful number, since it uses less digits than its factorization.

1845229131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1845229131360 in words is "one trillion, eight hundred forty-five billion, two hundred twenty-nine million, one hundred thirty-one thousand, three hundred sixty".