4645407954432 has 320 divisors, whose sum is σ = 14822376307200. Its totient is φ = 1291382120448.

The previous prime is 4645407954431. The next prime is 4645407954433. The reversal of 4645407954432 is 2344597045464.

It is an interprime number because it is at equal distance from previous prime (4645407954431) and next prime (4645407954433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645407954431) 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 31 ways as a sum of consecutive naturals, for example, 19374223 + ... + 19612529.

It is an arithmetic number, because the mean of its divisors is an integer number (46319925960).

Almost surely, 2^{4645407954432} is an apocalyptic number.

4645407954432 is a gapful number since it is divisible by the number (42) 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 4645407954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411188153600).

4645407954432 is an abundant number, since it is smaller than the sum of its proper divisors (10176968352768).

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

4645407954432 is an equidigital number, since it uses as much as digits as its factorization.

4645407954432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238386 (or 238356 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 57.

The spelling of 4645407954432 in words is "four trillion, six hundred forty-five billion, four hundred seven million, nine hundred fifty-four thousand, four hundred thirty-two".