434154350253832 has 96 divisors (see below), whose sum is σ = 925268055891480. Its totient is φ = 189824067855360.

The previous prime is 434154350253809. The next prime is 434154350253887. The reversal of 434154350253832 is 238352053451434.

It can be written as a sum of positive squares in 4 ways, for example, as 133964559381636 + 300189790872196 = 11574306^2 + 17325986^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 434154350253832.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866302558 + ... + 866803570.

Almost surely, 2^{434154350253832} 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 434154350253832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462634027945740).

434154350253832 is an abundant number, since it is smaller than the sum of its proper divisors (491113705637648).

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

434154350253832 is a wasteful number, since it uses less digits than its factorization.

434154350253832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524151 (or 524128 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 52.

The spelling of 434154350253832 in words is "four hundred thirty-four trillion, one hundred fifty-four billion, three hundred fifty million, two hundred fifty-three thousand, eight hundred thirty-two".