11451133553464 has 192 divisors, whose sum is σ = 25095332908800. Its totient is φ = 4880969280000.

The previous prime is 11451133553441. The next prime is 11451133553473. The reversal of 11451133553464 is 46435533115411.

It is a happy number.

It is a super-2 number, since 2×11451133553464² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4488878989 + ... + 4488881539.

It is an arithmetic number, because the mean of its divisors is an integer number (130704858900).

Almost surely, 2^{11451133553464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451133553464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547666454400).

11451133553464 is an abundant number, since it is smaller than the sum of its proper divisors (13644199355336).

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

11451133553464 is a wasteful number, since it uses less digits than its factorization.

11451133553464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4971 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

Adding to 11451133553464 its reverse (46435533115411), we get a palindrome (57886666668875).

The spelling of 11451133553464 in words is "eleven trillion, four hundred fifty-one billion, one hundred thirty-three million, five hundred fifty-three thousand, four hundred sixty-four".