4113335764152 has 192 divisors, whose sum is σ = 11991997555200. Its totient is φ = 1269625259520.

The previous prime is 4113335764147. The next prime is 4113335764159. The reversal of 4113335764152 is 2514675333114.

4113335764152 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 33 + 576 + 41 + 5 + 2 = 666.

It is a super-2 number, since 2×4113335764152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4113335764098 and 4113335764107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113335764159) 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, 48887223 + ... + 48971289.

It is an arithmetic number, because the mean of its divisors is an integer number (62458320600).

Almost surely, 2^{4113335764152} 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 4113335764152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995998777600).

4113335764152 is an abundant number, since it is smaller than the sum of its proper divisors (7878661791048).

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

4113335764152 is a wasteful number, since it uses less digits than its factorization.

4113335764152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84906 (or 84899 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 4113335764152 in words is "four trillion, one hundred thirteen billion, three hundred thirty-five million, seven hundred sixty-four thousand, one hundred fifty-two".