1146631776 has 144 divisors (see below), whose sum is σ = 3286732176. Its totient is φ = 349691904.

The previous prime is 1146631763. The next prime is 1146631781. The reversal of 1146631776 is 6771366411.

Its product of digits (127008) is a multiple of the sum of its prime divisors (1176).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1025970 + ... + 1027086.

It is an arithmetic number, because the mean of its divisors is an integer number (22824529).

Almost surely, 2^1146631776 is an apocalyptic number.

1146631776 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 1146631776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643366088).

1146631776 is an abundant number, since it is smaller than the sum of its proper divisors (2140100400).

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

1146631776 is a wasteful number, since it uses less digits than its factorization.

1146631776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1176 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 1146631776 is about 33861.9517452849. The cubic root of 1146631776 is about 1046.6656969622.

The spelling of 1146631776 in words is "one billion, one hundred forty-six million, six hundred thirty-one thousand, seven hundred seventy-six".