11148641280 has 704 divisors, whose sum is σ = 46549762560. Its totient is φ = 2477260800.

The previous prime is 11148641237. The next prime is 11148641323. The reversal of 11148641280 is 8214684111.

11148641280 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 8 + 641 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11148641237) and next prime (11148641323).

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 63 ways as a sum of consecutive naturals, for example, 39674740 + ... + 39675020.

Almost surely, 2^11148641280 is an apocalyptic number.

11148641280 is a gapful number since it is divisible by the number (10) 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 11148641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23274881280).

11148641280 is an abundant number, since it is smaller than the sum of its proper divisors (35401121280).

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

11148641280 is a wasteful number, since it uses less digits than its factorization.

11148641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

It can be divided in two parts, 11148641 and 280, that added together give a square (11148921 = 3339²).

The spelling of 11148641280 in words is "eleven billion, one hundred forty-eight million, six hundred forty-one thousand, two hundred eighty".