4913196136992 has 1728 divisors, whose sum is σ = 18702330192000. Its totient is φ = 1257091799040.

The previous prime is 4913196136967. The next prime is 4913196136993. The reversal of 4913196136992 is 2996316913194.

4913196136992 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 1 + 9 + 613 + 6 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×4913196136992² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4913196136993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169420556434 + ... + 169420556462.

It is an arithmetic number, because the mean of its divisors is an integer number (10823107750).

Almost surely, 2^{4913196136992} 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 4913196136992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351165096000).

4913196136992 is an abundant number, since it is smaller than the sum of its proper divisors (13789134055008).

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

4913196136992 is a wasteful number, since it uses less digits than its factorization.

4913196136992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its digits is 17006112, while the sum is 63.

The spelling of 4913196136992 in words is "four trillion, nine hundred thirteen billion, one hundred ninety-six million, one hundred thirty-six thousand, nine hundred ninety-two".