4338992074536 has 192 divisors, whose sum is σ = 14023019160000. Its totient is φ = 1239493933440.

The previous prime is 4338992074517. The next prime is 4338992074561. The reversal of 4338992074536 is 6354702998334.

4338992074536 is a `hidden beast` number, since 4 + 3 + 3 + 8 + 9 + 9 + 20 + 74 + 536 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65810115 + ... + 65876013.

It is an arithmetic number, because the mean of its divisors is an integer number (73036558125).

Almost surely, 2^{4338992074536} 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 4338992074536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011509580000).

4338992074536 is an abundant number, since it is smaller than the sum of its proper divisors (9684027085464).

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

4338992074536 is a wasteful number, since it uses less digits than its factorization.

4338992074536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72149 (or 72132 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 4338992074536 in words is "four trillion, three hundred thirty-eight billion, nine hundred ninety-two million, seventy-four thousand, five hundred thirty-six".