45105674064 has 320 divisors, whose sum is σ = 136791244800. Its totient is φ = 12676608000.

The previous prime is 45105674063. The next prime is 45105674069. The reversal of 45105674064 is 46047650154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45105674063) 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, 42998212 + ... + 42999260.

It is an arithmetic number, because the mean of its divisors is an integer number (427472640).

Almost surely, 2^45105674064 is an apocalyptic number.

45105674064 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 45105674064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68395622400).

45105674064 is an abundant number, since it is smaller than the sum of its proper divisors (91685570736).

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

45105674064 is a wasteful number, since it uses less digits than its factorization.

45105674064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 45105674064 in words is "forty-five billion, one hundred five million, six hundred seventy-four thousand, sixty-four".