11451316312464 has 160 divisors (see below), whose sum is σ = 34745432150016. Its totient is φ = 3181265487360.

The previous prime is 11451316312417. The next prime is 11451316312477. The reversal of 11451316312464 is 46421361315411.

It is a super-2 number, since 2×11451316312464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18479949 + ... + 19089555.

Almost surely, 2^{11451316312464} is an apocalyptic number.

11451316312464 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 11451316312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372716075008).

11451316312464 is an abundant number, since it is smaller than the sum of its proper divisors (23294115837552).

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

11451316312464 is a wasteful number, since it uses less digits than its factorization.

11451316312464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611173 (or 611167 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

Adding to 11451316312464 its reverse (46421361315411), we get a palindrome (57872677627875).

The spelling of 11451316312464 in words is "eleven trillion, four hundred fifty-one billion, three hundred sixteen million, three hundred twelve thousand, four hundred sixty-four".