22149946560 has 224 divisors, whose sum is σ = 81890445312. Its totient is φ = 4967239680.

The previous prime is 22149946547. The next prime is 22149946583. The reversal of 22149946560 is 6564994122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×22149946560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325065 + ... + 387255.

Almost surely, 2^22149946560 is an apocalyptic number.

22149946560 is a gapful number since it is divisible by the number (20) 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 22149946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40945222656).

22149946560 is an abundant number, since it is smaller than the sum of its proper divisors (59740498752).

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

22149946560 is a wasteful number, since it uses less digits than its factorization.

22149946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62271 (or 62261 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 22149946560 in words is "twenty-two billion, one hundred forty-nine million, nine hundred forty-six thousand, five hundred sixty".