46213221600 has 1440 divisors, whose sum is σ = 220100037696. Its totient is φ = 9157017600.

The previous prime is 46213221589. The next prime is 46213221623. The reversal of 46213221600 is 612231264.

46213221600 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 32 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 100245370 + ... + 100245830.

Almost surely, 2^46213221600 is an apocalyptic number.

46213221600 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 46213221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110050018848).

46213221600 is an abundant number, since it is smaller than the sum of its proper divisors (173886816096).

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

46213221600 is a wasteful number, since it uses less digits than its factorization.

46213221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 46213221600 its reverse (612231264), we get a palindrome (46825452864).

The spelling of 46213221600 in words is "forty-six billion, two hundred thirteen million, two hundred twenty-one thousand, six hundred".