1528123915164 has 768 divisors, whose sum is σ = 4854217310208. Its totient is φ = 362741760000.

The previous prime is 1528123915163. The next prime is 1528123915189. The reversal of 1528123915164 is 4615193218251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528123915163) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5946007324 + ... + 5946007580.

It is an arithmetic number, because the mean of its divisors is an integer number (6320595456).

Almost surely, 2^{1528123915164} is an apocalyptic number.

1528123915164 is a gapful number since it is divisible by the number (14) 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 1528123915164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427108655104).

1528123915164 is an abundant number, since it is smaller than the sum of its proper divisors (3326093395044).

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

1528123915164 is a wasteful number, since it uses less digits than its factorization.

1528123915164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 1528123915164 in words is "one trillion, five hundred twenty-eight billion, one hundred twenty-three million, nine hundred fifteen thousand, one hundred sixty-four".