1395225112752 has 400 divisors, whose sum is σ = 4534869696192. Its totient is φ = 411813642240.

The previous prime is 1395225112741. The next prime is 1395225112763. The reversal of 1395225112752 is 2572115225931.

1395225112752 is a `hidden beast` number, since 1 + 3 + 9 + 522 + 5 + 112 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1395225112741) and next prime (1395225112763).

It is a super-2 number, since 2×1395225112752² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1395225112698 and 1395225112707.

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 79 ways as a sum of consecutive naturals, for example, 30888328 + ... + 30933464.

Almost surely, 2^{1395225112752} is an apocalyptic number.

1395225112752 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 1395225112752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267434848096).

1395225112752 is an abundant number, since it is smaller than the sum of its proper divisors (3139644583440).

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

1395225112752 is a wasteful number, since it uses less digits than its factorization.

1395225112752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45258 (or 45243 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 1395225112752 in words is "one trillion, three hundred ninety-five billion, two hundred twenty-five million, one hundred twelve thousand, seven hundred fifty-two".