423782249393664 has 3360 divisors, whose sum is σ = 1643295791385600. Its totient is φ = 106575263170560.

The previous prime is 423782249393611. The next prime is 423782249393677. The reversal of 423782249393664 is 466393942287324.

423782249393664 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 8 + 224 + 9 + 39 + 366 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 423782249393592 and 423782249393601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1563772137849 + ... + 1563772138119.

Almost surely, 2^{423782249393664} 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 423782249393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821647895692800).

423782249393664 is an abundant number, since it is smaller than the sum of its proper divisors (1219513541991936).

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

423782249393664 is a wasteful number, since it uses less digits than its factorization.

423782249393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 428 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 72.

The spelling of 423782249393664 in words is "four hundred twenty-three trillion, seven hundred eighty-two billion, two hundred forty-nine million, three hundred ninety-three thousand, six hundred sixty-four".