263141370900 has 162 divisors, whose sum is σ = 856483781790. Its totient is φ = 70170857280.

The previous prime is 263141370871. The next prime is 263141370917. The reversal of 263141370900 is 9073141362.

263141370900 is a `hidden beast` number, since 2 + 63 + 141 + 370 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7344147204 + 255797223696 = 85698^2 + 505764^2 .

It is a tau number, because it is divible by the number of its divisors (162).

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

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 455566 + ... + 856634.

Almost surely, 2^263141370900 is an apocalyptic number.

263141370900 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 263141370900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428241890895).

263141370900 is an abundant number, since it is smaller than the sum of its proper divisors (593342410890).

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

263141370900 is an equidigital number, since it uses as much as digits as its factorization.

263141370900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401107 (or 401079 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 263141370900 in words is "two hundred sixty-three billion, one hundred forty-one million, three hundred seventy thousand, nine hundred".