46839796992 has 288 divisors, whose sum is σ = 147653654400. Its totient is φ = 14595489792.

The previous prime is 46839796957. The next prime is 46839797027. The reversal of 46839796992 is 29969793864.

46839796992 is a `hidden beast` number, since 4 + 68 + 397 + 96 + 9 + 92 = 666.

46839796992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46839796957) and next prime (46839797027).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 46839796992.

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, 18446859 + ... + 18449397.

It is an arithmetic number, because the mean of its divisors is an integer number (512686300).

Almost surely, 2^46839796992 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 46839796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73826827200).

46839796992 is an abundant number, since it is smaller than the sum of its proper divisors (100813857408).

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

46839796992 is a wasteful number, since it uses less digits than its factorization.

46839796992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2718 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 46839796992 in words is "forty-six billion, eight hundred thirty-nine million, seven hundred ninety-six thousand, nine hundred ninety-two".