434123226758628 has 216 divisors, whose sum is σ = 1217319046836984. Its totient is φ = 130344210247680.

The previous prime is 434123226758603. The next prime is 434123226758629. The reversal of 434123226758628 is 826857622321434.

434123226758628 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 2 + 3 + 2 + 26 + 7 + 586 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 888641811684 + 433234584946944 = 942678^2 + 20814288^2 .

It is a super-2 number, since 2×434123226758628² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434123226758629) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240514750 + ... + 242313002.

It is an arithmetic number, because the mean of its divisors is an integer number (5635736327949).

Almost surely, 2^{434123226758628} 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 434123226758628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608659523418492).

434123226758628 is an abundant number, since it is smaller than the sum of its proper divisors (783195820078356).

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

434123226758628 is a wasteful number, since it uses less digits than its factorization.

434123226758628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798795 (or 1798779 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 434123226758628 in words is "four hundred thirty-four trillion, one hundred twenty-three billion, two hundred twenty-six million, seven hundred fifty-eight thousand, six hundred twenty-eight".