8946129900840 has 128 divisors (see below), whose sum is σ = 30287838038400. Its totient is φ = 2093973969920.

The previous prime is 8946129900809. The next prime is 8946129900871. The reversal of 8946129900840 is 480099216498.

It is an interprime number because it is at equal distance from previous prime (8946129900809) and next prime (8946129900871).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 116812947 + ... + 116889506.

It is an arithmetic number, because the mean of its divisors is an integer number (236623734675).

Almost surely, 2^{8946129900840} is an apocalyptic number.

It is an amenable number.

8946129900840 is an abundant number, since it is smaller than the sum of its proper divisors (21341708137560).

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

8946129900840 is a wasteful number, since it uses less digits than its factorization.

8946129900840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233702507 (or 233702503 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 8946129900840 in words is "eight trillion, nine hundred forty-six billion, one hundred twenty-nine million, nine hundred thousand, eight hundred forty".