4896819057312 has 288 divisors, whose sum is σ = 17162002061568. Its totient is φ = 1289725452288.

The previous prime is 4896819057289. The next prime is 4896819057313. The reversal of 4896819057312 is 2137509186984.

4896819057312 is a `hidden beast` number, since 4 + 89 + 6 + 8 + 190 + 57 + 312 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4896819057312.

It is not an unprimeable number, because it can be changed into a prime (4896819057313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19346808 + ... + 19598280.

It is an arithmetic number, because the mean of its divisors is an integer number (59590284936).

It is a 1-persistent number, because it is pandigital, but 2⋅4896819057312 = 9793638114624 is not.

Almost surely, 2^{4896819057312} is an apocalyptic number.

4896819057312 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 4896819057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581001030784).

4896819057312 is an abundant number, since it is smaller than the sum of its proper divisors (12265183004256).

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

4896819057312 is a wasteful number, since it uses less digits than its factorization.

4896819057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252252 (or 252241 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 4896819057312 in words is "four trillion, eight hundred ninety-six billion, eight hundred nineteen million, fifty-seven thousand, three hundred twelve".