46422606400 has 84 divisors (see below), whose sum is σ = 114553613412. Its totient is φ = 18516213760.

The previous prime is 46422606397. The next prime is 46422606403. The reversal of 46422606400 is 460622464.

It is an interprime number because it is at equal distance from previous prime (46422606397) and next prime (46422606403).

It can be written as a sum of positive squares in 6 ways, for example, as 12061310976 + 34361295424 = 109824^2 + 185368^2 .

It is not an unprimeable number, because it can be changed into a prime (46422606403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523704 + ... + 605896.

It is an arithmetic number, because the mean of its divisors is an integer number (1363733493).

Almost surely, 2^46422606400 is an apocalyptic number.

46422606400 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 46422606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57276806706).

46422606400 is an abundant number, since it is smaller than the sum of its proper divisors (68131007012).

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

46422606400 is a wasteful number, since it uses less digits than its factorization.

46422606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82568 (or 82553 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 46422606400 in words is "forty-six billion, four hundred twenty-two million, six hundred six thousand, four hundred".