11303877312 has 504 divisors, whose sum is σ = 40983737184. Its totient is φ = 2915647488.

The previous prime is 11303877283. The next prime is 11303877331. The reversal of 11303877312 is 21377830311.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×11303877312³ (a number of 31 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 36114468 + ... + 36114780.

Almost surely, 2^11303877312 is an apocalyptic number.

11303877312 is a gapful number since it is divisible by the number (12) 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 11303877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491868592).

11303877312 is an abundant number, since it is smaller than the sum of its proper divisors (29679859872).

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

11303877312 is a wasteful number, since it uses less digits than its factorization.

11303877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11303877312 in words is "eleven billion, three hundred three million, eight hundred seventy-seven thousand, three hundred twelve".