472644688490352 has 400 divisors, whose sum is σ = 1604228321691072. Its totient is φ = 131525415567360.

The previous prime is 472644688490329. The next prime is 472644688490357. The reversal of 472644688490352 is 253094886446274.

472644688490352 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 4 + 4 + 6 + 88 + 490 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472644688490357) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 219496108 + ... + 221638964.

Almost surely, 2^{472644688490352} is an apocalyptic number.

472644688490352 is a gapful number since it is divisible by the number (42) 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 472644688490352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802114160845536).

472644688490352 is an abundant number, since it is smaller than the sum of its proper divisors (1131583633200720).

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

472644688490352 is a wasteful number, since it uses less digits than its factorization.

472644688490352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143518 (or 2143503 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 472644688490352 in words is "four hundred seventy-two trillion, six hundred forty-four billion, six hundred eighty-eight million, four hundred ninety thousand, three hundred fifty-two".