11429846820 has 360 divisors, whose sum is σ = 42124393080. Its totient is φ = 2586608640.

The previous prime is 11429846789. The next prime is 11429846837. The reversal of 11429846820 is 2864892411.

It can be written as a sum of positive squares in 4 ways, for example, as 4493289024 + 6936557796 = 67032^2 + 83286^2 .

It is a super-2 number, since 2×11429846820² (a number of 21 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 8651760 + ... + 8653080.

It is an arithmetic number, because the mean of its divisors is an integer number (117012203).

Almost surely, 2^11429846820 is an apocalyptic number.

11429846820 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 11429846820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062196540).

11429846820 is an abundant number, since it is smaller than the sum of its proper divisors (30694546260).

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

11429846820 is a wasteful number, since it uses less digits than its factorization.

11429846820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11429846820 in words is "eleven billion, four hundred twenty-nine million, eight hundred forty-six thousand, eight hundred twenty".