11622629004 has 96 divisors (see below), whose sum is σ = 32860262400. Its totient is φ = 3123282240.

The previous prime is 11622628999. The next prime is 11622629041. The reversal of 11622629004 is 40092622611.

11622629004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195649 + ... + 248039.

It is an arithmetic number, because the mean of its divisors is an integer number (342294400).

Almost surely, 2^11622629004 is an apocalyptic number.

11622629004 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 11622629004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430131200).

11622629004 is an abundant number, since it is smaller than the sum of its proper divisors (21237633396).

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

11622629004 is a wasteful number, since it uses less digits than its factorization.

11622629004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52563 (or 52561 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 11622629004 in words is "eleven billion, six hundred twenty-two million, six hundred twenty-nine thousand, four".