2135556401472 has 448 divisors, whose sum is σ = 6885453783040. Its totient is φ = 645115871232.

The previous prime is 2135556401467. The next prime is 2135556401501. The reversal of 2135556401472 is 2741046555312.

2135556401472 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 5 + 564 + 0 + 14 + 72 = 666.

It is a super-2 number, since 2×2135556401472² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276730158 + ... + 276737874.

It is an arithmetic number, because the mean of its divisors is an integer number (15369316480).

Almost surely, 2^{2135556401472} 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 2135556401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442726891520).

2135556401472 is an abundant number, since it is smaller than the sum of its proper divisors (4749897381568).

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

2135556401472 is a wasteful number, since it uses less digits than its factorization.

2135556401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2135556401472 in words is "two trillion, one hundred thirty-five billion, five hundred fifty-six million, four hundred one thousand, four hundred seventy-two".