11413946880 has 960 divisors, whose sum is σ = 50189787648. Its totient is φ = 2335703040.

The previous prime is 11413946879. The next prime is 11413946911. The reversal of 11413946880 is 8864931411.

11413946880 is a `hidden beast` number, since 11 + 413 + 94 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63060390 + ... + 63060570.

Almost surely, 2^11413946880 is an apocalyptic number.

11413946880 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 11413946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25094893824).

11413946880 is an abundant number, since it is smaller than the sum of its proper divisors (38775840768).

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

11413946880 is a wasteful number, since it uses less digits than its factorization.

11413946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11413946880 in words is "eleven billion, four hundred thirteen million, nine hundred forty-six thousand, eight hundred eighty".