1500145479648 has 72 divisors (see below), whose sum is σ = 4516982175888. Its totient is φ = 470633874432.

The previous prime is 1500145479647. The next prime is 1500145479691. The reversal of 1500145479648 is 8469745410051.

1500145479648 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 1 + 4 + 547 + 96 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1500145479594 and 1500145479603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1500145479647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153196236 + ... + 153206027.

It is an arithmetic number, because the mean of its divisors is an integer number (62735863554).

Almost surely, 2^{1500145479648} is an apocalyptic number.

1500145479648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1500145479648 is an abundant number, since it is smaller than the sum of its proper divisors (3016836696240).

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

1500145479648 is a wasteful number, since it uses less digits than its factorization.

1500145479648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306402296 (or 306402285 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1500145479648 in words is "one trillion, five hundred billion, one hundred forty-five million, four hundred seventy-nine thousand, six hundred forty-eight".