11346041520 has 640 divisors, whose sum is σ = 46047052800. Its totient is φ = 2538086400.

The previous prime is 11346041513. The next prime is 11346041521. The reversal of 11346041520 is 2514064311.

It is a happy number.

11346041520 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 604 + 1 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11346041521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18508734 + ... + 18509346.

It is an arithmetic number, because the mean of its divisors is an integer number (71948520).

Almost surely, 2^11346041520 is an apocalyptic number.

11346041520 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 11346041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023526400).

11346041520 is an abundant number, since it is smaller than the sum of its proper divisors (34701011280).

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

11346041520 is a wasteful number, since it uses less digits than its factorization.

11346041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11346041520 in words is "eleven billion, three hundred forty-six million, forty-one thousand, five hundred twenty".