46791779328000 has 3360 divisors, whose sum is σ = 210466307834640. Its totient is φ = 10300450406400.

The previous prime is 46791779327987. The next prime is 46791779328001. The reversal of 46791779328000 is 82397719764.

46791779328000 is a `hidden beast` number, since 467 + 9 + 1 + 7 + 7 + 93 + 2 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3545478107136 + 43246301220864 = 1882944^2 + 6576192^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×46791779328000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46791779328001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 117863423802 + ... + 117863424198.

Almost surely, 2^{46791779328000} is an apocalyptic number.

46791779328000 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 46791779328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105233153917320).

46791779328000 is an abundant number, since it is smaller than the sum of its proper divisors (163674528506640).

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

46791779328000 is an equidigital number, since it uses as much as digits as its factorization.

46791779328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 46791779328000 in words is "forty-six trillion, seven hundred ninety-one billion, seven hundred seventy-nine million, three hundred twenty-eight thousand".