1002145521432 has 96 divisors (see below), whose sum is σ = 2898768196800. Its totient is φ = 287697263040.

The previous prime is 1002145521427. The next prime is 1002145521437. The reversal of 1002145521432 is 2341255412001.

It is an interprime number because it is at equal distance from previous prime (1002145521427) and next prime (1002145521437).

It is a super-2 number, since 2×1002145521432² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002145521432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002145521437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9026178 + ... + 9136529.

It is an arithmetic number, because the mean of its divisors is an integer number (30195502050).

Almost surely, 2^{1002145521432} is an apocalyptic number.

1002145521432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002145521432 is an abundant number, since it is smaller than the sum of its proper divisors (1896622675368).

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

1002145521432 is a wasteful number, since it uses less digits than its factorization.

1002145521432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18162757 (or 18162742 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1002145521432 in words is "one trillion, two billion, one hundred forty-five million, five hundred twenty-one thousand, four hundred thirty-two".