46331906400 has 432 divisors, whose sum is σ = 176679410544. Its totient is φ = 11357245440.

The previous prime is 46331906393. The next prime is 46331906441. The reversal of 46331906400 is 460913364.

46331906400 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 1 + 9 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25926307 + ... + 25928093.

It is an arithmetic number, because the mean of its divisors is an integer number (408980117).

Almost surely, 2^46331906400 is an apocalyptic number.

46331906400 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 46331906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88339705272).

46331906400 is an abundant number, since it is smaller than the sum of its proper divisors (130347504144).

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

46331906400 is a wasteful number, since it uses less digits than its factorization.

46331906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 46331906400 in words is "forty-six billion, three hundred thirty-one million, nine hundred six thousand, four hundred".