2145350144032 has 96 divisors (see below), whose sum is σ = 4550455324800. Its totient is φ = 991908999168.

The previous prime is 2145350144009. The next prime is 2145350144039. The reversal of 2145350144032 is 2304410535412.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2145350144039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60290598 + ... + 60326170.

It is an arithmetic number, because the mean of its divisors is an integer number (47400576300).

Almost surely, 2^{2145350144032} 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 2145350144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275227662400).

2145350144032 is an abundant number, since it is smaller than the sum of its proper divisors (2405105180768).

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

2145350144032 is a wasteful number, since it uses less digits than its factorization.

2145350144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37538 (or 37530 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2145350144032 its reverse (2304410535412), we get a palindrome (4449760679444).

The spelling of 2145350144032 in words is "two trillion, one hundred forty-five billion, three hundred fifty million, one hundred forty-four thousand, thirty-two".