45129509760 has 256 divisors, whose sum is σ = 148848632640. Its totient is φ = 11621302272.

The previous prime is 45129509753. The next prime is 45129509767. The reversal of 45129509760 is 6790592154.

It is an interprime number because it is at equal distance from previous prime (45129509753) and next prime (45129509767).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45129509767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9730162 + ... + 9734798.

Almost surely, 2^45129509760 is an apocalyptic number.

45129509760 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 45129509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74424316320).

45129509760 is an abundant number, since it is smaller than the sum of its proper divisors (103719122880).

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

45129509760 is a wasteful number, since it uses less digits than its factorization.

45129509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 45129509760 in words is "forty-five billion, one hundred twenty-nine million, five hundred nine thousand, seven hundred sixty".