45705150720 has 576 divisors, whose sum is σ = 170155641600. Its totient is φ = 11746861056.

The previous prime is 45705150713. The next prime is 45705150721. The reversal of 45705150720 is 2705150754.

45705150720 is a `hidden beast` number, since 4 + 5 + 70 + 515 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45705150721) 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, 81181159 + ... + 81181721.

It is an arithmetic number, because the mean of its divisors is an integer number (295409100).

Almost surely, 2^45705150720 is an apocalyptic number.

45705150720 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 45705150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85077820800).

45705150720 is an abundant number, since it is smaller than the sum of its proper divisors (124450490880).

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

45705150720 is an frugal number, since it uses more digits than its factorization.

45705150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 45705150720 in words is "forty-five billion, seven hundred five million, one hundred fifty thousand, seven hundred twenty".