1146522816 has 224 divisors, whose sum is σ = 3496056000. Its totient is φ = 368271360.

The previous prime is 1146522809. The next prime is 1146522821. The reversal of 1146522816 is 6182256411.

It is a happy number.

1146522816 is a `hidden beast` number, since 11 + 46 + 522 + 81 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (23040) is a multiple of the sum of its prime divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 7694710 + ... + 7694858.

Almost surely, 2^1146522816 is an apocalyptic number.

1146522816 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 1146522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748028000).

1146522816 is an abundant number, since it is smaller than the sum of its proper divisors (2349533184).

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

1146522816 is a wasteful number, since it uses less digits than its factorization.

1146522816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1146522816 is about 33860.3428216550. The cubic root of 1146522816 is about 1046.6325423758.

The spelling of 1146522816 in words is "one billion, one hundred forty-six million, five hundred twenty-two thousand, eight hundred sixteen".