451540056166000 has 320 divisors, whose sum is σ = 1151109230544000. Its totient is φ = 170839043481600.

The previous prime is 451540056165997. The next prime is 451540056166013. The reversal of 451540056166000 is 661650045154.

It is a super-3 number, since 3×451540056166000³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 90871411516 + ... + 90871416484.

It is an arithmetic number, because the mean of its divisors is an integer number (3597216345450).

Almost surely, 2^{451540056166000} is an apocalyptic number.

451540056166000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451540056166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575554615272000).

451540056166000 is an abundant number, since it is smaller than the sum of its proper divisors (699569174378000).

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

451540056166000 is a wasteful number, since it uses less digits than its factorization.

451540056166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8317 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 451540056166000 in words is "four hundred fifty-one trillion, five hundred forty billion, fifty-six million, one hundred sixty-six thousand".