4501335314112 has 224 divisors, whose sum is σ = 14693036058624. Its totient is φ = 1184343552000.

The previous prime is 4501335314111. The next prime is 4501335314149. The reversal of 4501335314112 is 2114135331054.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4501335314112² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4501335314111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7049737 + ... + 7661687.

It is an arithmetic number, because the mean of its divisors is an integer number (65593910976).

Almost surely, 2^{4501335314112} is an apocalyptic number.

4501335314112 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 4501335314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346518029312).

4501335314112 is an abundant number, since it is smaller than the sum of its proper divisors (10191700744512).

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

4501335314112 is a wasteful number, since it uses less digits than its factorization.

4501335314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612407 (or 612397 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 4501335314112 in words is "four trillion, five hundred one billion, three hundred thirty-five million, three hundred fourteen thousand, one hundred twelve".