2136478329216 has 1536 divisors, whose sum is σ = 8270354534400. Its totient is φ = 531056148480.

The previous prime is 2136478329173. The next prime is 2136478329221. The reversal of 2136478329216 is 6129238746312.

2136478329216 is a `hidden beast` number, since 2 + 1 + 36 + 4 + 78 + 329 + 216 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7291734766 + ... + 7291735058.

It is an arithmetic number, because the mean of its divisors is an integer number (5384345400).

Almost surely, 2^{2136478329216} 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 2136478329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135177267200).

2136478329216 is an abundant number, since it is smaller than the sum of its proper divisors (6133876205184).

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

2136478329216 is a wasteful number, since it uses less digits than its factorization.

2136478329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 416 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 2136478329216 in words is "two trillion, one hundred thirty-six billion, four hundred seventy-eight million, three hundred twenty-nine thousand, two hundred sixteen".