1002145513014 has 32 divisors (see below), whose sum is σ = 2238528860640. Its totient is φ = 332317679616.

The previous prime is 1002145513013. The next prime is 1002145513051. The reversal of 1002145513014 is 4103155412001.

1002145513014 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 145 + 513 + 0 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002145513013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48067947 + ... + 48088790.

It is an arithmetic number, because the mean of its divisors is an integer number (69954026895).

Almost surely, 2^{1002145513014} is an apocalyptic number.

1002145513014 is an abundant number, since it is smaller than the sum of its proper divisors (1236383347626).

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

1002145513014 is a wasteful number, since it uses less digits than its factorization.

1002145513014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96156941 (or 96156935 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1002145513014 in words is "one trillion, two billion, one hundred forty-five million, five hundred thirteen thousand, fourteen".