1395013060224 has 96 divisors (see below), whose sum is σ = 4587766191840. Its totient is φ = 398575157760.

The previous prime is 1395013060223. The next prime is 1395013060229. The reversal of 1395013060224 is 4220603105931.

1395013060224 is a `hidden beast` number, since 1 + 39 + 5 + 0 + 13 + 0 + 602 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1395013060224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1395013060223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86488282 + ... + 86504409.

It is an arithmetic number, because the mean of its divisors is an integer number (47789231165).

Almost surely, 2^{1395013060224} is an apocalyptic number.

1395013060224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1395013060224 is an abundant number, since it is smaller than the sum of its proper divisors (3192753131616).

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

1395013060224 is a wasteful number, since it uses less digits than its factorization.

1395013060224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172992718 (or 172992703 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1395013060224 in words is "one trillion, three hundred ninety-five billion, thirteen million, sixty thousand, two hundred twenty-four".