46305072000 has 1536 divisors, whose sum is σ = 200170414080. Its totient is φ = 10137600000.

The previous prime is 46305071983. The next prime is 46305072043. The reversal of 46305072000 is 27050364.

It is a happy number.

46305072000 is a `hidden beast` number, since 4 + 630 + 5 + 0 + 7 + 20 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1129391980 + ... + 1129392020.

It is an arithmetic number, because the mean of its divisors is an integer number (130319280).

Almost surely, 2^46305072000 is an apocalyptic number.

46305072000 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 46305072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100085207040).

46305072000 is an abundant number, since it is smaller than the sum of its proper divisors (153865342080).

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

46305072000 is a wasteful number, since it uses less digits than its factorization.

46305072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 46305072000 in words is "forty-six billion, three hundred five million, seventy-two thousand".