468196844544 has 704 divisors, whose sum is σ = 1650700800000. Its totient is φ = 129220116480.

The previous prime is 468196844537. The next prime is 468196844551. The reversal of 468196844544 is 445448691864.

468196844544 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 9 + 6 + 84 + 4 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (468196844537) and next prime (468196844551).

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312338707 + ... + 312340205.

Almost surely, 2^468196844544 is an apocalyptic number.

468196844544 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 468196844544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825350400000).

468196844544 is an abundant number, since it is smaller than the sum of its proper divisors (1182503955456).

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

468196844544 is a wasteful number, since it uses less digits than its factorization.

468196844544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1607 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 468196844544 in words is "four hundred sixty-eight billion, one hundred ninety-six million, eight hundred forty-four thousand, five hundred forty-four".