45702144000 has 1120 divisors, whose sum is σ = 185547304800. Its totient is φ = 11147673600.

The previous prime is 45702143983. The next prime is 45702144001. The reversal of 45702144000 is 44120754.

45702144000 is a `hidden beast` number, since 45 + 7 + 0 + 214 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45702144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1575935986 + ... + 1575936014.

Almost surely, 2^45702144000 is an apocalyptic number.

45702144000 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 45702144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92773652400).

45702144000 is an abundant number, since it is smaller than the sum of its proper divisors (139845160800).

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

45702144000 is an equidigital number, since it uses as much as digits as its factorization.

45702144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 45702144000 its reverse (44120754), we get a palindrome (45746264754).

The spelling of 45702144000 in words is "forty-five billion, seven hundred two million, one hundred forty-four thousand".