11802342816 has 288 divisors, whose sum is σ = 39203813376. Its totient is φ = 3460320000.

The previous prime is 11802342787. The next prime is 11802342823. The reversal of 11802342816 is 61824320811.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2649391 + ... + 2653841.

It is an arithmetic number, because the mean of its divisors is an integer number (136124352).

Almost surely, 2^11802342816 is an apocalyptic number.

11802342816 is a gapful number since it is divisible by the number (16) 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 11802342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601906688).

11802342816 is an abundant number, since it is smaller than the sum of its proper divisors (27401470560).

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

11802342816 is a wasteful number, since it uses less digits than its factorization.

11802342816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11802342816 in words is "eleven billion, eight hundred two million, three hundred forty-two thousand, eight hundred sixteen".