20114525340 has 864 divisors, whose sum is σ = 83053071360. Its totient is φ = 3949710336.

The previous prime is 20114525329. The next prime is 20114525359. The reversal of 20114525340 is 4352541102.

20114525340 is a `hidden beast` number, since 20 + 114 + 525 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 543635802 + ... + 543635838.

It is an arithmetic number, because the mean of its divisors is an integer number (96126240).

Almost surely, 2^20114525340 is an apocalyptic number.

20114525340 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 20114525340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41526535680).

20114525340 is an abundant number, since it is smaller than the sum of its proper divisors (62938546020).

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

20114525340 is a wasteful number, since it uses less digits than its factorization.

20114525340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20114525340 in words is "twenty billion, one hundred fourteen million, five hundred twenty-five thousand, three hundred forty".