2136475809664 has 256 divisors, whose sum is σ = 5047127280000. Its totient is φ = 900335665152.

The previous prime is 2136475809653. The next prime is 2136475809691. The reversal of 2136475809664 is 4669085746312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754137592 + ... + 754140424.

It is a 1-persistent number, because it is pandigital, but 2⋅2136475809664 = 4272951619328 is not.

Almost surely, 2^{2136475809664} 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 2136475809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523563640000).

2136475809664 is an abundant number, since it is smaller than the sum of its proper divisors (2910651470336).

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

2136475809664 is an equidigital number, since it uses as much as digits as its factorization.

2136475809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 2136475809664 in words is "two trillion, one hundred thirty-six billion, four hundred seventy-five million, eight hundred nine thousand, six hundred sixty-four".