1464242322312 has 192 divisors, whose sum is σ = 4969816076160. Its totient is φ = 378351820800.

The previous prime is 1464242322311. The next prime is 1464242322401. The reversal of 1464242322312 is 2132232424641.

1464242322312 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 2 + 423 + 223 + 1 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (1464242322311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385762 + ... + 1754222.

It is an arithmetic number, because the mean of its divisors is an integer number (25884458730).

Almost surely, 2^{1464242322312} is an apocalyptic number.

1464242322312 is a gapful number since it is divisible by the number (12) 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 1464242322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484908038080).

1464242322312 is an abundant number, since it is smaller than the sum of its proper divisors (3505573753848).

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

1464242322312 is a wasteful number, since it uses less digits than its factorization.

1464242322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368684 (or 1368677 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 1464242322312 its reverse (2132232424641), we get a palindrome (3596474746953).

The spelling of 1464242322312 in words is "one trillion, four hundred sixty-four billion, two hundred forty-two million, three hundred twenty-two thousand, three hundred twelve".