2138294495232 has 576 divisors, whose sum is σ = 7460018092800. Its totient is φ = 610878578688.

The previous prime is 2138294495209. The next prime is 2138294495287. The reversal of 2138294495232 is 2325944928312.

2138294495232 is a `hidden beast` number, since 2 + 1 + 38 + 2 + 94 + 495 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219464953 + ... + 219474695.

It is an arithmetic number, because the mean of its divisors is an integer number (12951420300).

Almost surely, 2^{2138294495232} 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 2138294495232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730009046400).

2138294495232 is an abundant number, since it is smaller than the sum of its proper divisors (5321723597568).

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

2138294495232 is an frugal number, since it uses more digits than its factorization.

2138294495232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9755 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 2138294495232 in words is "two trillion, one hundred thirty-eight billion, two hundred ninety-four million, four hundred ninety-five thousand, two hundred thirty-two".