11318929441920 has 512 divisors, whose sum is σ = 41921855078400. Its totient is φ = 2880864645120.

The previous prime is 11318929441907. The next prime is 11318929441933. The reversal of 11318929441920 is 2914492981311.

11318929441920 is a `hidden beast` number, since 1 + 1 + 3 + 189 + 29 + 4 + 419 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11318929441907) and next prime (11318929441933).

It is a super-2 number, since 2×11318929441920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 183983965 + ... + 184045475.

It is an arithmetic number, because the mean of its divisors is an integer number (81878623200).

Almost surely, 2^{11318929441920} is an apocalyptic number.

11318929441920 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 11318929441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960927539200).

11318929441920 is an abundant number, since it is smaller than the sum of its proper divisors (30602925636480).

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

11318929441920 is a wasteful number, since it uses less digits than its factorization.

11318929441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62025 (or 62007 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 11318929441920 in words is "eleven trillion, three hundred eighteen billion, nine hundred twenty-nine million, four hundred forty-one thousand, nine hundred twenty".