434352145503100 has 72 divisors (see below), whose sum is σ = 1033974290160000. Its totient is φ = 157063853457600.

The previous prime is 434352145503013. The next prime is 434352145503109. The reversal of 434352145503100 is 1305541253434.

It is a super-2 number, since 2×434352145503100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434352145503109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102779600 + ... + 1103173399.

It is an arithmetic number, because the mean of its divisors is an integer number (14360754030000).

Almost surely, 2^{434352145503100} is an apocalyptic number.

It is an amenable number.

434352145503100 is an abundant number, since it is smaller than the sum of its proper divisors (599622144656900).

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

434352145503100 is a wasteful number, since it uses less digits than its factorization.

434352145503100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205953203 (or 2205953196 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 434352145503100 its reverse (1305541253434), we get a palindrome (435657686756534).

The spelling of 434352145503100 in words is "four hundred thirty-four trillion, three hundred fifty-two billion, one hundred forty-five million, five hundred three thousand, one hundred".