451134044217516 has 96 divisors (see below), whose sum is σ = 1152515601861120. Its totient is φ = 136210358592000.

The previous prime is 451134044217469. The next prime is 451134044217551. The reversal of 451134044217516 is 615712440431154.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731211680 + ... + 1731472248.

It is an arithmetic number, because the mean of its divisors is an integer number (12005370852720).

Almost surely, 2^{451134044217516} 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 451134044217516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576257800930560).

451134044217516 is an abundant number, since it is smaller than the sum of its proper divisors (701381557643604).

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

451134044217516 is a wasteful number, since it uses less digits than its factorization.

451134044217516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308215 (or 308213 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 451134044217516 in words is "four hundred fifty-one trillion, one hundred thirty-four billion, forty-four million, two hundred seventeen thousand, five hundred sixteen".