4611146321100 has 144 divisors (see below), whose sum is σ = 14555858115456. Its totient is φ = 1117745856000.

The previous prime is 4611146321011. The next prime is 4611146321107. The reversal of 4611146321100 is 11236411164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4611146321107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37297587 + ... + 37421013.

It is an arithmetic number, because the mean of its divisors is an integer number (101082348024).

Almost surely, 2^{4611146321100} is an apocalyptic number.

It is an amenable number.

4611146321100 is an abundant number, since it is smaller than the sum of its proper divisors (9944711794356).

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

4611146321100 is a wasteful number, since it uses less digits than its factorization.

4611146321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134776 (or 134769 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 4611146321100 in words is "four trillion, six hundred eleven billion, one hundred forty-six million, three hundred twenty-one thousand, one hundred".