20345349024 has 288 divisors, whose sum is σ = 77683342464. Its totient is φ = 4877936640.

The previous prime is 20345349019. The next prime is 20345349067. The reversal of 20345349024 is 42094354302.

20345349024 is a `hidden beast` number, since 2 + 0 + 34 + 534 + 90 + 2 + 4 = 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 a self number, because there is not a number n which added to its sum of digits gives 20345349024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253002 + ... + 323574.

It is an arithmetic number, because the mean of its divisors is an integer number (269733828).

Almost surely, 2^20345349024 is an apocalyptic number.

20345349024 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 20345349024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38841671232).

20345349024 is an abundant number, since it is smaller than the sum of its proper divisors (57337993440).

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

20345349024 is a wasteful number, since it uses less digits than its factorization.

20345349024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70620 (or 70609 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20345349024 in words is "twenty billion, three hundred forty-five million, three hundred forty-nine thousand, twenty-four".