1144777056 has 48 divisors (see below), whose sum is σ = 3163204800. Its totient is φ = 361507968.

The previous prime is 1144777043. The next prime is 1144777061. The reversal of 1144777056 is 6507774411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1144776999 and 1144777017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311986 + ... + 315633.

It is an arithmetic number, because the mean of its divisors is an integer number (65900100).

Almost surely, 2^1144777056 is an apocalyptic number.

1144777056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1144777056 is an abundant number, since it is smaller than the sum of its proper divisors (2018427744).

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

1144777056 is a wasteful number, since it uses less digits than its factorization.

1144777056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627651 (or 627643 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 1144777056 is about 33834.5541717340. The cubic root of 1144777056 is about 1046.1010520381.

The spelling of 1144777056 in words is "one billion, one hundred forty-four million, seven hundred seventy-seven thousand, fifty-six".