45513500240 has 120 divisors (see below), whose sum is σ = 121057382040. Its totient is φ = 15816351744.

The previous prime is 45513500213. The next prime is 45513500267. The reversal of 45513500240 is 4200531554.

It is an interprime number because it is at equal distance from previous prime (45513500213) and next prime (45513500267).

It can be written as a sum of positive squares in 12 ways, for example, as 10638684736 + 34874815504 = 103144^2 + 186748^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224846 + ... + 376274.

It is an arithmetic number, because the mean of its divisors is an integer number (1008811517).

Almost surely, 2^45513500240 is an apocalyptic number.

45513500240 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 45513500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60528691020).

45513500240 is an abundant number, since it is smaller than the sum of its proper divisors (75543881800).

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

45513500240 is a wasteful number, since it uses less digits than its factorization.

45513500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151489 (or 151466 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 45513500240 in words is "forty-five billion, five hundred thirteen million, five hundred thousand, two hundred forty".