46842638304000 has 4608 divisors, whose sum is σ = 225864686960640. Its totient is φ = 8291745792000.

The previous prime is 46842638303987. The next prime is 46842638304001. The reversal of 46842638304000 is 40383624864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (46842638304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 54915167574 + ... + 54915168426.

It is an arithmetic number, because the mean of its divisors is an integer number (49015774080).

Almost surely, 2^{46842638304000} is an apocalyptic number.

46842638304000 is a gapful number since it is divisible by the number (40) 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 46842638304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112932343480320).

46842638304000 is an abundant number, since it is smaller than the sum of its proper divisors (179022048656640).

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

46842638304000 is a wasteful number, since it uses less digits than its factorization.

46842638304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 46842638304000 in words is "forty-six trillion, eight hundred forty-two billion, six hundred thirty-eight million, three hundred four thousand".