11429918673264 has 640 divisors, whose sum is σ = 40767168512000. Its totient is φ = 2985604780032.

The previous prime is 11429918673241. The next prime is 11429918673281. The reversal of 11429918673264 is 46237681992411.

11429918673264 is a `hidden beast` number, since 1 + 1 + 4 + 299 + 1 + 86 + 7 + 3 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3539768802 + ... + 3539772030.

It is an arithmetic number, because the mean of its divisors is an integer number (63698700800).

Almost surely, 2^{11429918673264} is an apocalyptic number.

11429918673264 is a gapful number since it is divisible by the number (14) 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 11429918673264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383584256000).

11429918673264 is an abundant number, since it is smaller than the sum of its proper divisors (29337249838736).

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

11429918673264 is a wasteful number, since it uses less digits than its factorization.

11429918673264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 11429918673264 in words is "eleven trillion, four hundred twenty-nine billion, nine hundred eighteen million, six hundred seventy-three thousand, two hundred sixty-four".