4467952706112 has 560 divisors, whose sum is σ = 15707532720000. Its totient is φ = 1254891875328.

The previous prime is 4467952706101. The next prime is 4467952706149. The reversal of 4467952706112 is 2116072597644.

4467952706112 is a `hidden beast` number, since 4 + 46 + 7 + 9 + 527 + 0 + 61 + 12 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104887314 + ... + 104929902.

Almost surely, 2^{4467952706112} is an apocalyptic number.

4467952706112 is a gapful number since it is divisible by the number (42) 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 4467952706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853766360000).

4467952706112 is an abundant number, since it is smaller than the sum of its proper divisors (11239580013888).

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

4467952706112 is an equidigital number, since it uses as much as digits as its factorization.

4467952706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42693 (or 42660 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4467952706112 in words is "four trillion, four hundred sixty-seven billion, nine hundred fifty-two million, seven hundred six thousand, one hundred twelve".