46706429952000 has 5760 divisors, whose sum is σ = 232263904724280. Its totient is φ = 9274864435200.

The previous prime is 46706429951999. The next prime is 46706429952047. The reversal of 46706429952000 is 25992460764.

46706429952000 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 6 + 429 + 9 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9047293968384 + 37659135983616 = 3007872^2 + 6136704^2 .

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×46706429952000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2747437055992 + ... + 2747437056008.

Almost surely, 2^{46706429952000} is an apocalyptic number.

46706429952000 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 46706429952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116131952362140).

46706429952000 is an abundant number, since it is smaller than the sum of its proper divisors (185557474772280).

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

46706429952000 is an equidigital number, since it uses as much as digits as its factorization.

46706429952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 46706429952000 in words is "forty-six trillion, seven hundred six billion, four hundred twenty-nine million, nine hundred fifty-two thousand".