20114288640 has 624 divisors, whose sum is σ = 74521062720. Its totient is φ = 5009571840.

The previous prime is 20114288609. The next prime is 20114288653. The reversal of 20114288640 is 4688241102.

20114288640 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 2 + 8 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20114288595 and 20114288604.

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, 283299805 + ... + 283299875.

It is an arithmetic number, because the mean of its divisors is an integer number (119424780).

Almost surely, 2^20114288640 is an apocalyptic number.

20114288640 is a gapful number since it is divisible by the number (20) 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 20114288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37260531360).

20114288640 is an abundant number, since it is smaller than the sum of its proper divisors (54406774080).

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

20114288640 is a wasteful number, since it uses less digits than its factorization.

20114288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 20114288640 in words is "twenty billion, one hundred fourteen million, two hundred eighty-eight thousand, six hundred forty".