45348686040 has 256 divisors, whose sum is σ = 160951173120. Its totient is φ = 10002654720.

The previous prime is 45348686029. The next prime is 45348686051. The reversal of 45348686040 is 4068684354.

45348686040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45348686029) and next prime (45348686051).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9971047 + ... + 9975593.

It is an arithmetic number, because the mean of its divisors is an integer number (628715520).

Almost surely, 2^45348686040 is an apocalyptic number.

45348686040 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 45348686040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80475586560).

45348686040 is an abundant number, since it is smaller than the sum of its proper divisors (115602487080).

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

45348686040 is a wasteful number, since it uses less digits than its factorization.

45348686040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 45348686040 in words is "forty-five billion, three hundred forty-eight million, six hundred eighty-six thousand, forty".