11518148544 has 448 divisors, whose sum is σ = 37990272000. Its totient is φ = 3072577536.

The previous prime is 11518148539. The next prime is 11518148557. The reversal of 11518148544 is 44584181511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×11518148544³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11518148496 and 11518148505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70663407 + ... + 70663569.

Almost surely, 2^11518148544 is an apocalyptic number.

11518148544 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 11518148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995136000).

11518148544 is an abundant number, since it is smaller than the sum of its proper divisors (26472123456).

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

11518148544 is a wasteful number, since it uses less digits than its factorization.

11518148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its digits is 102400, while the sum is 42.

The spelling of 11518148544 in words is "eleven billion, five hundred eighteen million, one hundred forty-eight thousand, five hundred forty-four".