11274729984 has 640 divisors, whose sum is σ = 40603115520. Its totient is φ = 3021815808.

The previous prime is 11274729959. The next prime is 11274730001. The reversal of 11274729984 is 48992747211.

11274729984 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 472 + 99 + 84 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 11274729984.

It is a congruent number.

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, 168279519 + ... + 168279585.

It is an arithmetic number, because the mean of its divisors is an integer number (63442368).

Almost surely, 2^11274729984 is an apocalyptic number.

11274729984 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 11274729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301557760).

11274729984 is an abundant number, since it is smaller than the sum of its proper divisors (29328385536).

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

11274729984 is an equidigital number, since it uses as much as digits as its factorization.

11274729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 11274729984 in words is "eleven billion, two hundred seventy-four million, seven hundred twenty-nine thousand, nine hundred eighty-four".