20174151816 has 384 divisors, whose sum is σ = 73907568000. Its totient is φ = 5039967744.

The previous prime is 20174151779. The next prime is 20174151817. The reversal of 20174151816 is 61815147102.

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

It is not an unprimeable number, because it can be changed into a prime (20174151817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2610390 + ... + 2618106.

It is an arithmetic number, because the mean of its divisors is an integer number (192467625).

Almost surely, 2^20174151816 is an apocalyptic number.

20174151816 is a gapful number since it is divisible by the number (26) 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 20174151816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36953784000).

20174151816 is an abundant number, since it is smaller than the sum of its proper divisors (53733416184).

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

20174151816 is a wasteful number, since it uses less digits than its factorization.

20174151816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 20174151816 its reverse (61815147102), we get a palindrome (81989298918).

The spelling of 20174151816 in words is "twenty billion, one hundred seventy-four million, one hundred fifty-one thousand, eight hundred sixteen".