11622449146896 has 480 divisors, whose sum is σ = 40329312092160. Its totient is φ = 3051719193600.

The previous prime is 11622449146823. The next prime is 11622449146949. The reversal of 11622449146896 is 69864194422611.

11622449146896 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 24 + 491 + 46 + 89 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99841686 + ... + 99958026.

It is an arithmetic number, because the mean of its divisors is an integer number (84019400192).

Almost surely, 2^{11622449146896} is an apocalyptic number.

11622449146896 is a gapful number since it is divisible by the number (16) 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 11622449146896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20164656046080).

11622449146896 is an abundant number, since it is smaller than the sum of its proper divisors (28706862945264).

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

11622449146896 is a wasteful number, since it uses less digits than its factorization.

11622449146896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116555 (or 116546 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 11622449146896 in words is "eleven trillion, six hundred twenty-two billion, four hundred forty-nine million, one hundred forty-six thousand, eight hundred ninety-six".