2126138886144 has 960 divisors, whose sum is σ = 7884792115200. Its totient is φ = 555823005696.

The previous prime is 2126138886139. The next prime is 2126138886181. The reversal of 2126138886144 is 4416888316212.

2126138886144 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 13 + 8 + 8 + 8 + 614 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1917167062 + ... + 1917168170.

It is an arithmetic number, because the mean of its divisors is an integer number (8213325120).

Almost surely, 2^{2126138886144} is an apocalyptic number.

2126138886144 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 2126138886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942396057600).

2126138886144 is an abundant number, since it is smaller than the sum of its proper divisors (5758653229056).

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

2126138886144 is a wasteful number, since it uses less digits than its factorization.

2126138886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1261 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 2126138886144 in words is "two trillion, one hundred twenty-six billion, one hundred thirty-eight million, eight hundred eighty-six thousand, one hundred forty-four".