46577329344 has 448 divisors, whose sum is σ = 169304289280. Its totient is φ = 12227604480.

The previous prime is 46577329327. The next prime is 46577329349. The reversal of 46577329344 is 44392377564.

It is a happy number.

46577329344 is a `hidden beast` number, since 4 + 6 + 577 + 3 + 29 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (46577329349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42613662 + ... + 42614754.

It is an arithmetic number, because the mean of its divisors is an integer number (377911360).

Almost surely, 2^46577329344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46577329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84652144640).

46577329344 is an abundant number, since it is smaller than the sum of its proper divisors (122726959936).

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

46577329344 is a wasteful number, since it uses less digits than its factorization.

46577329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1389 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 46577329344 in words is "forty-six billion, five hundred seventy-seven million, three hundred twenty-nine thousand, three hundred forty-four".