20434254624 has 288 divisors, whose sum is σ = 70414396416. Its totient is φ = 5496698880.

The previous prime is 20434254611. The next prime is 20434254647. The reversal of 20434254624 is 42645243402.

20434254624 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 4 + 25 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307934 + ... + 2316770.

It is an arithmetic number, because the mean of its divisors is an integer number (244494432).

Almost surely, 2^20434254624 is an apocalyptic number.

20434254624 is a gapful number since it is divisible by the number (24) 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 20434254624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35207198208).

20434254624 is an abundant number, since it is smaller than the sum of its proper divisors (49980141792).

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

20434254624 is a wasteful number, since it uses less digits than its factorization.

20434254624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 20434254624 in words is "twenty billion, four hundred thirty-four million, two hundred fifty-four thousand, six hundred twenty-four".