46809336000 has 224 divisors, whose sum is σ = 176645693952. Its totient is φ = 10699238400.

The previous prime is 46809335981. The next prime is 46809336031. The reversal of 46809336000 is 63390864.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×46809336000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46809336000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28687 + ... + 307313.

It is an arithmetic number, because the mean of its divisors is an integer number (788596848).

Almost surely, 2^46809336000 is an apocalyptic number.

46809336000 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 46809336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88322846976).

46809336000 is an abundant number, since it is smaller than the sum of its proper divisors (129836357952).

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

46809336000 is a wasteful number, since it uses less digits than its factorization.

46809336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278664 (or 278644 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 46809336000 in words is "forty-six billion, eight hundred nine million, three hundred thirty-six thousand".