45586943640 has 1024 divisors, whose sum is σ = 192421785600. Its totient is φ = 9364045824.

The previous prime is 45586943629. The next prime is 45586943641. The reversal of 45586943640 is 4634968554.

45586943640 is a `hidden beast` number, since 4 + 558 + 6 + 9 + 43 + 6 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45586943641) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 403424224 + ... + 403424336.

It is an arithmetic number, because the mean of its divisors is an integer number (187911900).

Almost surely, 2^45586943640 is an apocalyptic number.

45586943640 is a gapful number since it is divisible by the number (40) 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 45586943640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96210892800).

45586943640 is an abundant number, since it is smaller than the sum of its proper divisors (146834841960).

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

45586943640 is a wasteful number, since it uses less digits than its factorization.

45586943640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45586943640 in words is "forty-five billion, five hundred eighty-six million, nine hundred forty-three thousand, six hundred forty".