1523142972768 has 48 divisors (see below), whose sum is σ = 4073689002096. Its totient is φ = 498134807040.

The previous prime is 1523142972763. The next prime is 1523142972779. The reversal of 1523142972768 is 8672792413251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1523142972763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149674843 + ... + 149685018.

It is an arithmetic number, because the mean of its divisors is an integer number (84868520877).

Almost surely, 2^{1523142972768} is an apocalyptic number.

It is an amenable number.

1523142972768 is an abundant number, since it is smaller than the sum of its proper divisors (2550546029328).

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

1523142972768 is a wasteful number, since it uses less digits than its factorization.

1523142972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299359927 (or 299359919 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 1523142972768 in words is "one trillion, five hundred twenty-three billion, one hundred forty-two million, nine hundred seventy-two thousand, seven hundred sixty-eight".