2144929250464 has 576 divisors, whose sum is σ = 6006738124800. Its totient is φ = 746299008000.

The previous prime is 2144929250459. The next prime is 2144929250533. The reversal of 2144929250464 is 4640529294412.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632534209 + ... + 632537599.

It is an arithmetic number, because the mean of its divisors is an integer number (10428364800).

Almost surely, 2^{2144929250464} 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 2144929250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003369062400).

2144929250464 is an abundant number, since it is smaller than the sum of its proper divisors (3861808874336).

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

2144929250464 is a wasteful number, since it uses less digits than its factorization.

2144929250464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 2144929250464 in words is "two trillion, one hundred forty-four billion, nine hundred twenty-nine million, two hundred fifty thousand, four hundred sixty-four".