11221929504 has 144 divisors (see below), whose sum is σ = 33029156160. Its totient is φ = 3611312640.

The previous prime is 11221929469. The next prime is 11221929529. The reversal of 11221929504 is 40592912211.

11221929504 is a `hidden beast` number, since 1 + 122 + 1 + 9 + 29 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391917 + ... + 1399955.

It is an arithmetic number, because the mean of its divisors is an integer number (229369140).

Almost surely, 2^11221929504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221929504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514578080).

11221929504 is an abundant number, since it is smaller than the sum of its proper divisors (21807226656).

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

11221929504 is a wasteful number, since it uses less digits than its factorization.

11221929504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11221929504 in words is "eleven billion, two hundred twenty-one million, nine hundred twenty-nine thousand, five hundred four".