4811494572000 has 288 divisors, whose sum is σ = 17083907043840. Its totient is φ = 1282470681600.

The previous prime is 4811494571987. The next prime is 4811494572011. The reversal of 4811494572000 is 2754941184.

4811494572000 is a `hidden beast` number, since 481 + 14 + 94 + 5 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-5 number, since 5×4811494572000⁵ (a number of 65 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80574154 + ... + 80633846.

It is an arithmetic number, because the mean of its divisors is an integer number (59319121680).

Almost surely, 2^{4811494572000} is an apocalyptic number.

4811494572000 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 4811494572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541953521920).

4811494572000 is an abundant number, since it is smaller than the sum of its proper divisors (12272412471840).

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

4811494572000 is a wasteful number, since it uses less digits than its factorization.

4811494572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61963 (or 61942 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 4811494572000 in words is "four trillion, eight hundred eleven billion, four hundred ninety-four million, five hundred seventy-two thousand".