11451123646464 has 120 divisors (see below), whose sum is σ = 30548534643648. Its totient is φ = 3815399096320.

The previous prime is 11451123646463. The next prime is 11451123646507. The reversal of 11451123646464 is 46464632115411.

It is a super-2 number, since 2×11451123646464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11451123646463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116981989 + ... + 117079835.

Almost surely, 2^{11451123646464} 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 11451123646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274267321824).

11451123646464 is an abundant number, since it is smaller than the sum of its proper divisors (19097410997184).

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

11451123646464 is an frugal number, since it uses more digits than its factorization.

11451123646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100259 (or 100233 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 11451123646464 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-three million, six hundred forty-six thousand, four hundred sixty-four".