1002345023504 has 80 divisors (see below), whose sum is σ = 2127703818240. Its totient is φ = 453653796480.

The previous prime is 1002345023501. The next prime is 1002345023509. The reversal of 1002345023504 is 4053205432001.

It is a happy number.

It is a super-2 number, since 2×1002345023504² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002345023501) 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, 124371827 + ... + 124379885.

It is an arithmetic number, because the mean of its divisors is an integer number (26596297728).

Almost surely, 2^{1002345023504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002345023504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063851909120).

1002345023504 is an abundant number, since it is smaller than the sum of its proper divisors (1125358794736).

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

1002345023504 is a wasteful number, since it uses less digits than its factorization.

1002345023504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 1002345023504 in words is "one trillion, two billion, three hundred forty-five million, twenty-three thousand, five hundred four".