4514562048000 has 576 divisors, whose sum is σ = 15316717695552. Its totient is φ = 1180486860800.

The previous prime is 4514562047981. The next prime is 4514562048041. The reversal of 4514562048000 is 8402654154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4514562048000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605055134 + ... + 2605056866.

It is an arithmetic number, because the mean of its divisors is an integer number (26591523777).

Almost surely, 2^{4514562048000} is an apocalyptic number.

4514562048000 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 4514562048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658358847776).

4514562048000 is an abundant number, since it is smaller than the sum of its proper divisors (10802155647552).

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

4514562048000 is an frugal number, since it uses more digits than its factorization.

4514562048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 4514562048000 in words is "four trillion, five hundred fourteen billion, five hundred sixty-two million, forty-eight thousand".