1045179075600 has 405 divisors, whose sum is σ = 3989345752119. Its totient is φ = 253213171200.

The previous prime is 1045179075593. The next prime is 1045179075607. The reversal of 1045179075600 is 65709715401.

The square root of 1045179075600 is 1022340.

It is a perfect power (a square), and thus also a powerful number.

1045179075600 is a `hidden beast` number, since 1 + 0 + 4 + 517 + 9 + 0 + 75 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1045179075593) and next prime (1045179075607).

It can be written as a sum of positive squares in 4 ways, for example, as 95162378256 + 950016697344 = 308484^2 + 974688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1045179075607) 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 80 ways as a sum of consecutive naturals, for example, 674743626 + ... + 674745174.

Almost surely, 2^{1045179075600} is an apocalyptic number.

1045179075600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1045179075600 is the 1022340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045179075600

1045179075600 is an abundant number, since it is smaller than the sum of its proper divisors (2944166676519).

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

1045179075600 is a wasteful number, since it uses less digits than its factorization.

1045179075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 1045179075600 in words is "one trillion, forty-five billion, one hundred seventy-nine million, seventy-five thousand, six hundred".