46819793664 has 432 divisors, whose sum is σ = 162135966720. Its totient is φ = 13198049280.

The previous prime is 46819793659. The next prime is 46819793689. The reversal of 46819793664 is 46639791864.

46819793664 is a `hidden beast` number, since 468 + 19 + 79 + 36 + 64 = 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 (63).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 34400344 + ... + 34401704.

Almost surely, 2^46819793664 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 46819793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81067983360).

46819793664 is an abundant number, since it is smaller than the sum of its proper divisors (115316173056).

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

46819793664 is an equidigital number, since it uses as much as digits as its factorization.

46819793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1452 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 46819793664 in words is "forty-six billion, eight hundred nineteen million, seven hundred ninety-three thousand, six hundred sixty-four".