2145213144160 has 192 divisors, whose sum is σ = 5594965125120. Its totient is φ = 773617582080.

The previous prime is 2145213144157. The next prime is 2145213144161. The reversal of 2145213144160 is 614413125412.

It is a happy number.

It is a super-4 number, since 4×2145213144160⁴ (a number of 50 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145213144161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9910690 + ... + 10124830.

It is an arithmetic number, because the mean of its divisors is an integer number (29140443360).

Almost surely, 2^{2145213144160} is an apocalyptic number.

2145213144160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145213144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797482562560).

2145213144160 is an abundant number, since it is smaller than the sum of its proper divisors (3449751980960).

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

2145213144160 is a wasteful number, since it uses less digits than its factorization.

2145213144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214329 (or 214321 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 2145213144160 its reverse (614413125412), we get a palindrome (2759626269572).

The spelling of 2145213144160 in words is "two trillion, one hundred forty-five billion, two hundred thirteen million, one hundred forty-four thousand, one hundred sixty".