45581600064 has 672 divisors, whose sum is σ = 174600510336. Its totient is φ = 10280632320.

The previous prime is 45581600027. The next prime is 45581600083. The reversal of 45581600064 is 46000618554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 45581599995 and 45581600031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22869852 + ... + 22871844.

It is an arithmetic number, because the mean of its divisors is an integer number (259822188).

Almost surely, 2^45581600064 is an apocalyptic number.

45581600064 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 45581600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87300255168).

45581600064 is an abundant number, since it is smaller than the sum of its proper divisors (129018910272).

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

45581600064 is a wasteful number, since it uses less digits than its factorization.

45581600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 45581600064 in words is "forty-five billion, five hundred eighty-one million, six hundred thousand, sixty-four".