1008354925152 has 144 divisors (see below), whose sum is σ = 2973282137280. Its totient is φ = 323773900800.

The previous prime is 1008354925129. The next prime is 1008354925159. The reversal of 1008354925152 is 2515294538001.

1008354925152 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 3 + 5 + 492 + 5 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1008354925098 and 1008354925107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008354925159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3459652 + ... + 3739772.

It is an arithmetic number, because the mean of its divisors is an integer number (20647792620).

Almost surely, 2^{1008354925152} is an apocalyptic number.

1008354925152 is a gapful number since it is divisible by the number (12) 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 1008354925152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486641068640).

1008354925152 is an abundant number, since it is smaller than the sum of its proper divisors (1964927212128).

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

1008354925152 is a wasteful number, since it uses less digits than its factorization.

1008354925152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280597 (or 280586 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1008354925152 in words is "one trillion, eight billion, three hundred fifty-four million, nine hundred twenty-five thousand, one hundred fifty-two".