46070934000 has 640 divisors, whose sum is σ = 192474347520. Its totient is φ = 9206784000.

The previous prime is 46070933999. The next prime is 46070934059. The reversal of 46070934000 is 43907064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10371780 + ... + 10376220.

It is an arithmetic number, because the mean of its divisors is an integer number (300741168).

Almost surely, 2^46070934000 is an apocalyptic number.

46070934000 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 46070934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96237173760).

46070934000 is an abundant number, since it is smaller than the sum of its proper divisors (146403413520).

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

46070934000 is a wasteful number, since it uses less digits than its factorization.

46070934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 46070934000 in words is "forty-six billion, seventy million, nine hundred thirty-four thousand".