4656212540100 has 576 divisors, whose sum is σ = 18200285107200. Its totient is φ = 1006463232000.

The previous prime is 4656212539999. The next prime is 4656212540107. The reversal of 4656212540100 is 10452126564.

4656212540100 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 2 + 1 + 2 + 540 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4656212540107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9350415 + ... + 9835785.

It is an arithmetic number, because the mean of its divisors is an integer number (31597717200).

Almost surely, 2^{4656212540100} 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 4656212540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100142553600).

4656212540100 is an abundant number, since it is smaller than the sum of its proper divisors (13544072567100).

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

4656212540100 is a wasteful number, since it uses less digits than its factorization.

4656212540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485441 (or 485428 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 4656212540100 its reverse (10452126564), we get a palindrome (4666664666664).

The spelling of 4656212540100 in words is "four trillion, six hundred fifty-six billion, two hundred twelve million, five hundred forty thousand, one hundred".