46264135104 has 252 divisors, whose sum is σ = 154336985712. Its totient is φ = 13194424320.

The previous prime is 46264135091. The next prime is 46264135153. The reversal of 46264135104 is 40153146264.

46264135104 is a `hidden beast` number, since 4 + 6 + 2 + 641 + 3 + 5 + 1 + 0 + 4 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1165309 + ... + 1204355.

It is an arithmetic number, because the mean of its divisors is an integer number (612448356).

Almost surely, 2^46264135104 is an apocalyptic number.

46264135104 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 46264135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77168492856).

46264135104 is an abundant number, since it is smaller than the sum of its proper divisors (108072850608).

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

46264135104 is a wasteful number, since it uses less digits than its factorization.

46264135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39104 (or 39080 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46264135104 in words is "forty-six billion, two hundred sixty-four million, one hundred thirty-five thousand, one hundred four".