46263343104 has 432 divisors, whose sum is σ = 151846236360. Its totient is φ = 13974405120.

The previous prime is 46263343079. The next prime is 46263343111. The reversal of 46263343104 is 40134336264.

46263343104 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 334 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 147806052 + ... + 147806364.

Almost surely, 2^46263343104 is an apocalyptic number.

46263343104 is a gapful number since it is divisible by the number (44) 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 46263343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75923118180).

46263343104 is an abundant number, since it is smaller than the sum of its proper divisors (105582893256).

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

46263343104 is an frugal number, since it uses more digits than its factorization.

46263343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 46263343104 its reverse (40134336264), we get a palindrome (86397679368).

The spelling of 46263343104 in words is "forty-six billion, two hundred sixty-three million, three hundred forty-three thousand, one hundred four".