11155146412464 has 100 divisors (see below), whose sum is σ = 32304304074504. Its totient is φ = 3716300570112.

The previous prime is 11155146412441. The next prime is 11155146412471. The reversal of 11155146412464 is 46421464155111.

11155146412464 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 5 + 1 + 464 + 124 + 64 = 666.

It is a super-2 number, since 2×11155146412464² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92377 + ... + 4724280.

Almost surely, 2^{11155146412464} 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 11155146412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152152037252).

11155146412464 is an abundant number, since it is smaller than the sum of its proper divisors (21149157662040).

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

11155146412464 is a wasteful number, since it uses less digits than its factorization.

11155146412464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818464 (or 4818449 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 11155146412464 in words is "eleven trillion, one hundred fifty-five billion, one hundred forty-six million, four hundred twelve thousand, four hundred sixty-four".