4902122744064 has 1728 divisors, whose sum is σ = 18822057246720. Its totient is φ = 1230782791680.

The previous prime is 4902122744011. The next prime is 4902122744093. The reversal of 4902122744064 is 4604472212094.

4902122744064 is a `hidden beast` number, since 4 + 9 + 0 + 212 + 27 + 4 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4902122744064² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21039153292 + ... + 21039153524.

It is an arithmetic number, because the mean of its divisors is an integer number (10892394240).

Almost surely, 2^{4902122744064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4902122744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411028623360).

4902122744064 is an abundant number, since it is smaller than the sum of its proper divisors (13919934502656).

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

4902122744064 is a wasteful number, since it uses less digits than its factorization.

4902122744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4902122744064 in words is "four trillion, nine hundred two billion, one hundred twenty-two million, seven hundred forty-four thousand, sixty-four".