20108374416 has 315 divisors, whose sum is σ = 63884668467. Its totient is φ = 6125932800.

The previous prime is 20108374387. The next prime is 20108374421. The reversal of 20108374416 is 61447380102.

The square root of 20108374416 is 141804.

It is a perfect power (a square), and thus also a powerful number.

20108374416 is a `hidden beast` number, since 201 + 0 + 8 + 3 + 7 + 441 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 758451600 + 19349922816 = 27540^2 + 139104^2 .

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 62 ways as a sum of consecutive naturals, for example, 199092766 + ... + 199092866.

Almost surely, 2^20108374416 is an apocalyptic number.

20108374416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20108374416 is the 141804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20108374416

20108374416 is an abundant number, since it is smaller than the sum of its proper divisors (43776294051).

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

20108374416 is an equidigital number, since it uses as much as digits as its factorization.

20108374416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 20108374416 by its sum of digits (36), we get a square (723901478976 = 850824²).

20108374416 divided by its sum of digits (36) gives a square (558565956 = 23634²).

The spelling of 20108374416 in words is "twenty billion, one hundred eight million, three hundred seventy-four thousand, four hundred sixteen".