45815357629440 has 1584 divisors, whose sum is σ = 191233782005760. Its totient is φ = 10101897953280.

The previous prime is 45815357629421. The next prime is 45815357629477. The reversal of 45815357629440 is 4492675351854.

It is a happy number.

45815357629440 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 53 + 576 + 2 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26808283306 + ... + 26808285014.

It is a 1-persistent number, because it is pandigital, but 2⋅45815357629440 = 91630715258880 is not.

Almost surely, 2^{45815357629440} is an apocalyptic number.

45815357629440 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 45815357629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95616891002880).

45815357629440 is an abundant number, since it is smaller than the sum of its proper divisors (145418424376320).

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

45815357629440 is a wasteful number, since it uses less digits than its factorization.

45815357629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 45815357629440 in words is "forty-five trillion, eight hundred fifteen billion, three hundred fifty-seven million, six hundred twenty-nine thousand, four hundred forty".