11624834514064 has 160 divisors (see below), whose sum is σ = 24630450978816. Its totient is φ = 5298939233280.

The previous prime is 11624834514053. The next prime is 11624834514067. The reversal of 11624834514064 is 46041543842611.

It is a junction number, because it is equal to n+sod(n) for n = 11624834513999 and 11624834514017.

It is not an unprimeable number, because it can be changed into a prime (11624834514067) by changing a digit.

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, 198458509 + ... + 198517075.

Almost surely, 2^{11624834514064} 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 11624834514064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315225489408).

11624834514064 is an abundant number, since it is smaller than the sum of its proper divisors (13005616464752).

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

11624834514064 is a wasteful number, since it uses less digits than its factorization.

11624834514064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58893 (or 58887 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 11624834514064 in words is "eleven trillion, six hundred twenty-four billion, eight hundred thirty-four million, five hundred fourteen thousand, sixty-four".