46545677568 has 432 divisors, whose sum is σ = 151940658240. Its totient is φ = 13970092032.

The previous prime is 46545677567. The next prime is 46545677569. The reversal of 46545677568 is 86577654564.

46545677568 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 5 + 67 + 7 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (46545677567) and next prime (46545677569).

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

Its product of digits (169344000) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46545677567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560791255 + ... + 560791337.

Almost surely, 2^46545677568 is an apocalyptic number.

46545677568 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 46545677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75970329120).

46545677568 is an abundant number, since it is smaller than the sum of its proper divisors (105394980672).

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

46545677568 is an equidigital number, since it uses as much as digits as its factorization.

46545677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 180 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 63.

The spelling of 46545677568 in words is "forty-six billion, five hundred forty-five million, six hundred seventy-seven thousand, five hundred sixty-eight".