2150635431312 has 120 divisors (see below), whose sum is σ = 6103826651520. Its totient is φ = 706809734400.

The previous prime is 2150635431289. The next prime is 2150635431317. The reversal of 2150635431312 is 2131345360512.

2150635431312 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 635 + 4 + 3 + 1 + 3 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2150635431317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3166663 + ... + 3785369.

It is an arithmetic number, because the mean of its divisors is an integer number (50865222096).

Almost surely, 2^{2150635431312} 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 2150635431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051913325760).

2150635431312 is an abundant number, since it is smaller than the sum of its proper divisors (3953191220208).

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

2150635431312 is a wasteful number, since it uses less digits than its factorization.

2150635431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619061 (or 619052 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2150635431312 in words is "two trillion, one hundred fifty billion, six hundred thirty-five million, four hundred thirty-one thousand, three hundred twelve".