1079046144 has 208 divisors, whose sum is σ = 3491331840. Its totient is φ = 326615040.

The previous prime is 1079046107. The next prime is 1079046169. The reversal of 1079046144 is 4416409701.

1079046144 is a `hidden beast` number, since 107 + 90 + 461 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1079046099 and 1079046108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216069 + ... + 1216955.

Almost surely, 2^1079046144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745665920).

1079046144 is an abundant number, since it is smaller than the sum of its proper divisors (2412285696).

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

1079046144 is an equidigital number, since it uses as much as digits as its factorization.

1079046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1079046144 is about 32848.8377876600. The cubic root of 1079046144 is about 1025.6834288876.

The spelling of 1079046144 in words is "one billion, seventy-nine million, forty-six thousand, one hundred forty-four".