4816973145600 has 2880 divisors, whose sum is σ = 23635267603200. Its totient is φ = 947552256000.

The previous prime is 4816973145587. The next prime is 4816973145631. The reversal of 4816973145600 is 65413796184.

4816973145600 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 9 + 73 + 1 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3539288920 + ... + 3539290280.

It is an arithmetic number, because the mean of its divisors is an integer number (8206690140).

Almost surely, 2^{4816973145600} is an apocalyptic number.

4816973145600 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 4816973145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817633801600).

4816973145600 is an abundant number, since it is smaller than the sum of its proper divisors (18818294457600).

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

4816973145600 is a wasteful number, since it uses less digits than its factorization.

4816973145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4816973145600 in words is "four trillion, eight hundred sixteen billion, nine hundred seventy-three million, one hundred forty-five thousand, six hundred".