451434434154 has 128 divisors (see below), whose sum is σ = 1033523712000. Its totient is φ = 130192608000.

The previous prime is 451434434111. The next prime is 451434434201.

451434434154 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105993277 + ... + 105997535.

It is an arithmetic number, because the mean of its divisors is an integer number (8074404000).

Almost surely, 2^451434434154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451434434154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516761856000).

451434434154 is an abundant number, since it is smaller than the sum of its proper divisors (582089277846).

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

451434434154 is a wasteful number, since it uses less digits than its factorization.

451434434154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 451434 and 434154, that added together give a palindrome (885588).

The spelling of 451434434154 in words is "four hundred fifty-one billion, four hundred thirty-four million, four hundred thirty-four thousand, one hundred fifty-four".