1231582464 has 162 divisors, whose sum is σ = 4131082410. Its totient is φ = 351848448.

The previous prime is 1231582447. The next prime is 1231582511. The reversal of 1231582464 is 4642851321.

It is a happy number.

1231582464 is a `hidden beast` number, since 1 + 2 + 31 + 582 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 914457600 + 317124864 = 30240^2 + 17808^2 .

It is a super-2 number, since 2×1231582464² = 3033590731264622592, which contains 22 as substring.

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 107442 + ... + 118350.

Almost surely, 2^1231582464 is an apocalyptic number.

1231582464 is a gapful number since it is divisible by the number (14) 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 1231582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065541205).

1231582464 is an abundant number, since it is smaller than the sum of its proper divisors (2899499946).

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

1231582464 is a wasteful number, since it uses less digits than its factorization.

1231582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10921 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1231582464 is about 35093.9092151330. The cubic root of 1231582464 is about 1071.9005625446.

The spelling of 1231582464 in words is "one billion, two hundred thirty-one million, five hundred eighty-two thousand, four hundred sixty-four".