45163742064 has 320 divisors, whose sum is σ = 146883456000. Its totient is φ = 11666350080.

The previous prime is 45163742059. The next prime is 45163742131. The reversal of 45163742064 is 46024736154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16475734 + ... + 16478474.

It is an arithmetic number, because the mean of its divisors is an integer number (459010800).

Almost surely, 2^45163742064 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 45163742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73441728000).

45163742064 is an abundant number, since it is smaller than the sum of its proper divisors (101719713936).

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

45163742064 is a wasteful number, since it uses less digits than its factorization.

45163742064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 45163742064 in words is "forty-five billion, one hundred sixty-three million, seven hundred forty-two thousand, sixty-four".