2145238325412 has 288 divisors, whose sum is σ = 6317548280064. Its totient is φ = 561564057600.

The previous prime is 2145238325389. The next prime is 2145238325413.

2145238325412 is nontrivially palindromic in base 10.

It is a super-5 number, since 5×2145238325412⁵ (a number of 63 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2145238325413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 768625737 + ... + 768628527.

It is an arithmetic number, because the mean of its divisors is an integer number (21935931528).

Almost surely, 2^{2145238325412} 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 2145238325412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158774140032).

2145238325412 is an abundant number, since it is smaller than the sum of its proper divisors (4172309954652).

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

2145238325412 is a wasteful number, since it uses less digits than its factorization.

2145238325412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3530 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 2145238325412 in words is "two trillion, one hundred forty-five billion, two hundred thirty-eight million, three hundred twenty-five thousand, four hundred twelve".