2129152201344 has 192 divisors, whose sum is σ = 7370655864000. Its totient is φ = 576311832576.

The previous prime is 2129152201321. The next prime is 2129152201369. The reversal of 2129152201344 is 4431022519212.

2129152201344 is a `hidden beast` number, since 2 + 1 + 2 + 91 + 5 + 220 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2129152201344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2129152201299 and 2129152201308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6794989 + ... + 7101420.

It is an arithmetic number, because the mean of its divisors is an integer number (38388832625).

Almost surely, 2^{2129152201344} is an apocalyptic number.

2129152201344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2129152201344 is an abundant number, since it is smaller than the sum of its proper divisors (5241503662656).

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

2129152201344 is a wasteful number, since it uses less digits than its factorization.

2129152201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13896455 (or 13896440 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2129152201344 in words is "two trillion, one hundred twenty-nine billion, one hundred fifty-two million, two hundred one thousand, three hundred forty-four".