4466774416608 has 240 divisors, whose sum is σ = 15020848291680. Its totient is φ = 1275581758464.

The previous prime is 4466774416553. The next prime is 4466774416651. The reversal of 4466774416608 is 8066144776644.

4466774416608 is a `hidden beast` number, since 4 + 4 + 6 + 6 + 7 + 7 + 4 + 4 + 16 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36753510 + ... + 36874842.

It is an arithmetic number, because the mean of its divisors is an integer number (62586867882).

Almost surely, 2^{4466774416608} is an apocalyptic number.

4466774416608 is a gapful number since it is divisible by the number (48) 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 4466774416608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510424145840).

4466774416608 is an abundant number, since it is smaller than the sum of its proper divisors (10554073875072).

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

4466774416608 is a wasteful number, since it uses less digits than its factorization.

4466774416608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123391 (or 123374 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 4466774416608 in words is "four trillion, four hundred sixty-six billion, seven hundred seventy-four million, four hundred sixteen thousand, six hundred eight".