1145277216 has 72 divisors (see below), whose sum is σ = 3448478124. Its totient is φ = 359301120.

The previous prime is 1145277209. The next prime is 1145277223. The reversal of 1145277216 is 6127725411.

1145277216 is a `hidden beast` number, since 114 + 527 + 7 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (1145277209) and next prime (1145277223).

It can be written as a sum of positive squares in 2 ways, for example, as 1102505616 + 42771600 = 33204^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112065 + ... + 121856.

Almost surely, 2^1145277216 is an apocalyptic number.

1145277216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1145277216 is an abundant number, since it is smaller than the sum of its proper divisors (2303200908).

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

1145277216 is a wasteful number, since it uses less digits than its factorization.

1145277216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233954 (or 233943 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 1145277216 is about 33841.9446249769. The cubic root of 1145277216 is about 1046.2533791423.

The spelling of 1145277216 in words is "one billion, one hundred forty-five million, two hundred seventy-seven thousand, two hundred sixteen".