11429790083712 has 2304 divisors, whose sum is σ = 48182472898560. Its totient is φ = 2619454464000.

The previous prime is 11429790083683. The next prime is 11429790083713. The reversal of 11429790083712 is 21738009792411.

11429790083712 is a `hidden beast` number, since 1 + 1 + 429 + 79 + 0 + 0 + 83 + 71 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11429790083713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7877180587 + ... + 7877182037.

It is an arithmetic number, because the mean of its divisors is an integer number (20912531640).

Almost surely, 2^{11429790083712} is an apocalyptic number.

11429790083712 is a gapful number since it is divisible by the number (12) 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 11429790083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24091236449280).

11429790083712 is an abundant number, since it is smaller than the sum of its proper divisors (36752682814848).

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

11429790083712 is a wasteful number, since it uses less digits than its factorization.

11429790083712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11429790083712 in words is "eleven trillion, four hundred twenty-nine billion, seven hundred ninety million, eighty-three thousand, seven hundred twelve".