25334463168 has 168 divisors, whose sum is σ = 83991468288. Its totient is φ = 7151113728.

The previous prime is 25334463151. The next prime is 25334463173. The reversal of 25334463168 is 86136443352.

25334463168 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 4 + 4 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296805 + ... + 372507.

It is an arithmetic number, because the mean of its divisors is an integer number (499949216).

Almost surely, 2^25334463168 is an apocalyptic number.

25334463168 is a gapful number since it is divisible by the number (28) 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 25334463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995734144).

25334463168 is an abundant number, since it is smaller than the sum of its proper divisors (58657005120).

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

25334463168 is a wasteful number, since it uses less digits than its factorization.

25334463168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75811 (or 75798 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 25334463168 in words is "twenty-five billion, three hundred thirty-four million, four hundred sixty-three thousand, one hundred sixty-eight".