1156779144 has 288 divisors, whose sum is σ = 3620635200. Its totient is φ = 345461760.

The previous prime is 1156779133. The next prime is 1156779203. The reversal of 1156779144 is 4419776511.

1156779144 is a `hidden beast` number, since 1 + 1 + 567 + 79 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1156779144.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16292629 + ... + 16292699.

It is an arithmetic number, because the mean of its divisors is an integer number (12571650).

Almost surely, 2^1156779144 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 1156779144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810317600).

1156779144 is an abundant number, since it is smaller than the sum of its proper divisors (2463856056).

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

1156779144 is a wasteful number, since it uses less digits than its factorization.

1156779144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 1156779144 is about 34011.4560699774. The cubic root of 1156779144 is about 1049.7441989113.

The spelling of 1156779144 in words is "one billion, one hundred fifty-six million, seven hundred seventy-nine thousand, one hundred forty-four".