4511779411968 has 384 divisors, whose sum is σ = 13569763334400. Its totient is φ = 1481002057728.

The previous prime is 4511779411897. The next prime is 4511779411981. The reversal of 4511779411968 is 8691149771154.

4511779411968 is a `hidden beast` number, since 4 + 51 + 17 + 79 + 411 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1592578680 + ... + 1592581512.

It is an arithmetic number, because the mean of its divisors is an integer number (35337925350).

Almost surely, 2^{4511779411968} is an apocalyptic number.

4511779411968 is a gapful number since it is divisible by the number (48) 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 4511779411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784881667200).

4511779411968 is an abundant number, since it is smaller than the sum of its proper divisors (9057983922432).

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

4511779411968 is a wasteful number, since it uses less digits than its factorization.

4511779411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3268 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 63.

The spelling of 4511779411968 in words is "four trillion, five hundred eleven billion, seven hundred seventy-nine million, four hundred eleven thousand, nine hundred sixty-eight".