2138630346944 has 224 divisors, whose sum is σ = 5458034190336. Its totient is φ = 808116756480.

The previous prime is 2138630346929. The next prime is 2138630346947. The reversal of 2138630346944 is 4496430368312.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2138630346947) 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, 97372124 + ... + 97394084.

It is an arithmetic number, because the mean of its divisors is an integer number (24366224064).

Almost surely, 2^{2138630346944} 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 2138630346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729017095168).

2138630346944 is an abundant number, since it is smaller than the sum of its proper divisors (3319403843392).

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

2138630346944 is a wasteful number, since it uses less digits than its factorization.

2138630346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22733 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 53.

The spelling of 2138630346944 in words is "two trillion, one hundred thirty-eight billion, six hundred thirty million, three hundred forty-six thousand, nine hundred forty-four".