46305456288 has 288 divisors, whose sum is σ = 157530562560. Its totient is φ = 11790858240.

The previous prime is 46305456283. The next prime is 46305456299. The reversal of 46305456288 is 88265450364.

It is a self number, because there is not a number n which added to its sum of digits gives 46305456288.

It is not an unprimeable number, because it can be changed into a prime (46305456283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760353 + ... + 1786463.

It is an arithmetic number, because the mean of its divisors is an integer number (546981120).

Almost surely, 2^46305456288 is an apocalyptic number.

46305456288 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 46305456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78765281280).

46305456288 is an abundant number, since it is smaller than the sum of its proper divisors (111225106272).

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

46305456288 is a wasteful number, since it uses less digits than its factorization.

46305456288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26180 (or 26165 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 46305456288 in words is "forty-six billion, three hundred five million, four hundred fifty-six thousand, two hundred eighty-eight".