472772147366464 has 112 divisors (see below), whose sum is σ = 1027259880204096. Its totient is φ = 214096699238400.

The previous prime is 472772147366461. The next prime is 472772147366471. The reversal of 472772147366464 is 464663741277274.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 472772147366393 and 472772147366402.

It is not an unprimeable number, because it can be changed into a prime (472772147366461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207549034 + ... + 209814550.

It is an arithmetic number, because the mean of its divisors is an integer number (9171963216108).

Almost surely, 2^{472772147366464} is an apocalyptic number.

472772147366464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472772147366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513629940102048).

472772147366464 is an abundant number, since it is smaller than the sum of its proper divisors (554487732837632).

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

472772147366464 is a wasteful number, since it uses less digits than its factorization.

472772147366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266644 (or 2266634 counting only the distinct ones).

The product of its digits is 1593188352, while the sum is 70.

The spelling of 472772147366464 in words is "four hundred seventy-two trillion, seven hundred seventy-two billion, one hundred forty-seven million, three hundred sixty-six thousand, four hundred sixty-four".