2138218230456 has 384 divisors, whose sum is σ = 7800691392000. Its totient is φ = 522710737920.

The previous prime is 2138218230433. The next prime is 2138218230461. The reversal of 2138218230456 is 6540328128312.

2138218230456 is a `hidden beast` number, since 2 + 13 + 8 + 2 + 182 + 3 + 0 + 456 = 666.

It is a congruent number.

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, 4386651 + ... + 4849653.

It is an arithmetic number, because the mean of its divisors is an integer number (20314300500).

Almost surely, 2^{2138218230456} 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 2138218230456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900345696000).

2138218230456 is an abundant number, since it is smaller than the sum of its proper divisors (5662473161544).

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

2138218230456 is a wasteful number, since it uses less digits than its factorization.

2138218230456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463064 (or 463043 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2138218230456 in words is "two trillion, one hundred thirty-eight billion, two hundred eighteen million, two hundred thirty thousand, four hundred fifty-six".