2146013002464 has 192 divisors, whose sum is σ = 5754006720000. Its totient is φ = 700133898240.

The previous prime is 2146013002409. The next prime is 2146013002477. The reversal of 2146013002464 is 4642003106412.

It is a happy number.

It is a super-3 number, since 3×2146013002464³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385417562 + ... + 1385419110.

It is an arithmetic number, because the mean of its divisors is an integer number (29968785000).

Almost surely, 2^{2146013002464} is an apocalyptic number.

2146013002464 is a gapful number since it is divisible by the number (24) 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 2146013002464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877003360000).

2146013002464 is an abundant number, since it is smaller than the sum of its proper divisors (3607993717536).

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

2146013002464 is a wasteful number, since it uses less digits than its factorization.

2146013002464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 2146013002464 its reverse (4642003106412), we get a palindrome (6788016108876).

The spelling of 2146013002464 in words is "two trillion, one hundred forty-six billion, thirteen million, two thousand, four hundred sixty-four".