263146941120 has 448 divisors, whose sum is σ = 963868308480. Its totient is φ = 59582988288.

The previous prime is 263146941103. The next prime is 263146941131. The reversal of 263146941120 is 21149641362.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472435882 + ... + 472436438.

It is an arithmetic number, because the mean of its divisors is an integer number (2151491760).

Almost surely, 2^263146941120 is an apocalyptic number.

263146941120 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 263146941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481934154240).

263146941120 is an abundant number, since it is smaller than the sum of its proper divisors (700721367360).

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

263146941120 is a wasteful number, since it uses less digits than its factorization.

263146941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 263146941120 in words is "two hundred sixty-three billion, one hundred forty-six million, nine hundred forty-one thousand, one hundred twenty".