2145351565434 has 256 divisors, whose sum is σ = 5729187594240. Its totient is φ = 518718816000.

The previous prime is 2145351565421. The next prime is 2145351565447. The reversal of 2145351565434 is 4345651535412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2145351565421) and next prime (2145351565447).

It is a super-2 number, since 2×2145351565434² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 847628749 + ... + 847631279.

It is an arithmetic number, because the mean of its divisors is an integer number (22379639040).

Almost surely, 2^{2145351565434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145351565434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864593797120).

2145351565434 is an abundant number, since it is smaller than the sum of its proper divisors (3583836028806).

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

2145351565434 is a wasteful number, since it uses less digits than its factorization.

2145351565434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217.

The product of its digits is 4320000, while the sum is 48.

The spelling of 2145351565434 in words is "two trillion, one hundred forty-five billion, three hundred fifty-one million, five hundred sixty-five thousand, four hundred thirty-four".