1523952545346 has 144 divisors (see below), whose sum is σ = 4194025475328. Its totient is φ = 395466926400.

The previous prime is 1523952545321. The next prime is 1523952545369. The reversal of 1523952545346 is 6435452593251.

1523952545346 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 9 + 52 + 54 + 534 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1523952545292 and 1523952545301.

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 71 ways as a sum of consecutive naturals, for example, 10532431 + ... + 10676141.

It is an arithmetic number, because the mean of its divisors is an integer number (29125176912).

Almost surely, 2^{1523952545346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1523952545346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097012737664).

1523952545346 is an abundant number, since it is smaller than the sum of its proper divisors (2670072929982).

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

1523952545346 is a wasteful number, since it uses less digits than its factorization.

1523952545346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144837 (or 144827 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 1523952545346 in words is "one trillion, five hundred twenty-three billion, nine hundred fifty-two million, five hundred forty-five thousand, three hundred forty-six".