45006008320 has 832 divisors, whose sum is σ = 147956981760. Its totient is φ = 12740198400.

The previous prime is 45006008297. The next prime is 45006008321. The reversal of 45006008320 is 2380060054.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (45006008321) 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, 1097707500 + ... + 1097707540.

Almost surely, 2^45006008320 is an apocalyptic number.

45006008320 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 45006008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73978490880).

45006008320 is an abundant number, since it is smaller than the sum of its proper divisors (102950973440).

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

45006008320 is a wasteful number, since it uses less digits than its factorization.

45006008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 45006008320 its reverse (2380060054), we get a palindrome (47386068374).

It can be divided in two parts, 45006008 and 320, that added together give a triangular number (45006328 = T₉₄₈₇).

The spelling of 45006008320 in words is "forty-five billion, six million, eight thousand, three hundred twenty".