11306617437420 has 144 divisors (see below), whose sum is σ = 34862102245152. Its totient is φ = 2965404625920.

The previous prime is 11306617437413. The next prime is 11306617437421. The reversal of 11306617437420 is 2473471660311.

11306617437420 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 617 + 4 + 3 + 7 + 4 + 20 = 666.

11306617437420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11306617437421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142733344 + ... + 142812536.

It is an arithmetic number, because the mean of its divisors is an integer number (242097932258).

Almost surely, 2^{11306617437420} is an apocalyptic number.

11306617437420 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 11306617437420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431051122576).

11306617437420 is an abundant number, since it is smaller than the sum of its proper divisors (23555484807732).

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

11306617437420 is a wasteful number, since it uses less digits than its factorization.

11306617437420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92272 (or 92267 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 11306617437420 in words is "eleven trillion, three hundred six billion, six hundred seventeen million, four hundred thirty-seven thousand, four hundred twenty".