46934208000 has 640 divisors, whose sum is σ = 175495731840. Its totient is φ = 12364185600.

The previous prime is 46934207981. The next prime is 46934208017. The reversal of 46934208000 is 80243964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271295914 + ... + 271296086.

It is an arithmetic number, because the mean of its divisors is an integer number (274212081).

Almost surely, 2^46934208000 is an apocalyptic number.

46934208000 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 46934208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87747865920).

46934208000 is an abundant number, since it is smaller than the sum of its proper divisors (128561523840).

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

46934208000 is a wasteful number, since it uses less digits than its factorization.

46934208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46934208000 in words is "forty-six billion, nine hundred thirty-four million, two hundred eight thousand".