46956066048 has 216 divisors, whose sum is σ = 143012629760. Its totient is φ = 14793891840.

The previous prime is 46956066037. The next prime is 46956066049. The reversal of 46956066048 is 84066065964.

It is a junction number, because it is equal to n+sod(n) for n = 46956065985 and 46956066003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46956066049) 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 23 ways as a sum of consecutive naturals, for example, 3063588 + ... + 3078876.

Almost surely, 2^46956066048 is an apocalyptic number.

46956066048 is a gapful number since it is divisible by the number (48) 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 46956066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71506314880).

46956066048 is an abundant number, since it is smaller than the sum of its proper divisors (96056563712).

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

46956066048 is a wasteful number, since it uses less digits than its factorization.

46956066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15385 (or 15368 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46956066048 in words is "forty-six billion, nine hundred fifty-six million, sixty-six thousand, forty-eight".