451078490016 has 576 divisors, whose sum is σ = 1628988641280. Its totient is φ = 115004897280.

The previous prime is 451078489993. The next prime is 451078490041. The reversal of 451078490016 is 610094870154.

451078490016 is a `hidden beast` number, since 45 + 107 + 8 + 490 + 0 + 16 = 666.

It is a super-4 number, since 4×451078490016⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345124435 + ... + 345125741.

It is an arithmetic number, because the mean of its divisors is an integer number (2828105280).

Almost surely, 2^451078490016 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 451078490016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814494320640).

451078490016 is an abundant number, since it is smaller than the sum of its proper divisors (1177910151264).

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

451078490016 is a wasteful number, since it uses less digits than its factorization.

451078490016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 451078490016 in words is "four hundred fifty-one billion, seventy-eight million, four hundred ninety thousand, sixteen".