46327814400 has 648 divisors, whose sum is σ = 185672741184. Its totient is φ = 10124083200.

The previous prime is 46327814383. The next prime is 46327814417. The reversal of 46327814400 is 441872364.

It is an interprime number because it is at equal distance from previous prime (46327814383) and next prime (46327814417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21637330 + ... + 21639470.

It is an arithmetic number, because the mean of its divisors is an integer number (286532008).

Almost surely, 2^46327814400 is an apocalyptic number.

46327814400 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 46327814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92836370592).

46327814400 is an abundant number, since it is smaller than the sum of its proper divisors (139344926784).

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

46327814400 is a wasteful number, since it uses less digits than its factorization.

46327814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 46327814400 in words is "forty-six billion, three hundred twenty-seven million, eight hundred fourteen thousand, four hundred".