46093365964800 has 3042 divisors, whose sum is σ = 215370537050984. Its totient is φ = 9577842278400.

The previous prime is 46093365964703. The next prime is 46093365964853. The reversal of 46093365964800 is 846956339064.

It is a happy number.

46093365964800 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 3 + 3 + 65 + 96 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 233 ways as a sum of consecutive naturals, for example, 4190305996795 + ... + 4190305996805.

Almost surely, 2^{46093365964800} is an apocalyptic number.

46093365964800 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 46093365964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107685268525492).

46093365964800 is an abundant number, since it is smaller than the sum of its proper divisors (169277171086184).

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

46093365964800 is an frugal number, since it uses more digits than its factorization.

46093365964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

46093365964800 divided by its sum of digits (63) gives a square (731640729600 = 855360²).

The spelling of 46093365964800 in words is "forty-six trillion, ninety-three billion, three hundred sixty-five million, nine hundred sixty-four thousand, eight hundred".