1147761216 has 336 divisors, whose sum is σ = 3954158208. Its totient is φ = 311500800.

The previous prime is 1147761191. The next prime is 1147761233. The reversal of 1147761216 is 6121677411.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8761471 + ... + 8761601.

It is an arithmetic number, because the mean of its divisors is an integer number (11768328).

Almost surely, 2^1147761216 is an apocalyptic number.

1147761216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977079104).

1147761216 is an abundant number, since it is smaller than the sum of its proper divisors (2806396992).

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

1147761216 is a wasteful number, since it uses less digits than its factorization.

1147761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1147761216 is about 33878.6247654771. The cubic root of 1147761216 is about 1047.0092417692.

The spelling of 1147761216 in words is "one billion, one hundred forty-seven million, seven hundred sixty-one thousand, two hundred sixteen".