11616345440 has 96 divisors (see below), whose sum is σ = 31572301824. Its totient is φ = 3956313600.

The previous prime is 11616345409. The next prime is 11616345479. The reversal of 11616345440 is 4454361611.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11616345440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134777 + ... + 203463.

It is an arithmetic number, because the mean of its divisors is an integer number (328878144).

Almost surely, 2^11616345440 is an apocalyptic number.

11616345440 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 11616345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786150912).

11616345440 is an abundant number, since it is smaller than the sum of its proper divisors (19955956384).

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

11616345440 is a wasteful number, since it uses less digits than its factorization.

11616345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68860 (or 68852 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 11616345440 in words is "eleven billion, six hundred sixteen million, three hundred forty-five thousand, four hundred forty".