46799452643328 has 3136 divisors, whose sum is σ = 187031054131200. Its totient is φ = 11588006707200.

The previous prime is 46799452643263. The next prime is 46799452643347. The reversal of 46799452643328 is 82334625499764.

It is a happy number.

46799452643328 is a `hidden beast` number, since 4 + 6 + 7 + 9 + 94 + 526 + 4 + 3 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3136).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 698499293151 + ... + 698499293217.

Almost surely, 2^{46799452643328} is an apocalyptic number.

46799452643328 is a gapful number since it is divisible by the number (48) 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 46799452643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93515527065600).

46799452643328 is an abundant number, since it is smaller than the sum of its proper divisors (140231601487872).

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

46799452643328 is an frugal number, since it uses more digits than its factorization.

46799452643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 121 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 46799452643328 in words is "forty-six trillion, seven hundred ninety-nine billion, four hundred fifty-two million, six hundred forty-three thousand, three hundred twenty-eight".