13458006144 has 320 divisors, whose sum is σ = 43986888000. Its totient is φ = 4050708480.

The previous prime is 13458006127. The next prime is 13458006203. The reversal of 13458006144 is 44160085431.

13458006144 is a `hidden beast` number, since 1 + 34 + 5 + 8 + 0 + 0 + 614 + 4 = 666.

It is a super-2 number, since 2×13458006144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13458006099 and 13458006108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22467157 + ... + 22467755.

It is an arithmetic number, because the mean of its divisors is an integer number (137459025).

Almost surely, 2^13458006144 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 13458006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993444000).

13458006144 is an abundant number, since it is smaller than the sum of its proper divisors (30528881856).

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

13458006144 is a wasteful number, since it uses less digits than its factorization.

13458006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13458006144 in words is "thirteen billion, four hundred fifty-eight million, six thousand, one hundred forty-four".