45252464640 has 208 divisors, whose sum is σ = 146964625728. Its totient is φ = 11886133248.

The previous prime is 45252464617. The next prime is 45252464641. The reversal of 45252464640 is 4646425254.

It is a junction number, because it is equal to n+sod(n) for n = 45252464592 and 45252464601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45252464641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4110984 + ... + 4121976.

Almost surely, 2^45252464640 is an apocalyptic number.

45252464640 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 45252464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73482312864).

45252464640 is an abundant number, since it is smaller than the sum of its proper divisors (101712161088).

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

45252464640 is a wasteful number, since it uses less digits than its factorization.

45252464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11070 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 45252464640 its reverse (4646425254), we get a palindrome (49898889894).

The spelling of 45252464640 in words is "forty-five billion, two hundred fifty-two million, four hundred sixty-four thousand, six hundred forty".