22015224966420 has 960 divisors, whose sum is σ = 82441473117696. Its totient is φ = 4814376652800.

The previous prime is 22015224966407. The next prime is 22015224966431. The reversal of 22015224966420 is 2466942251022.

22015224966420 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 522 + 49 + 6 + 64 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4067099634 + ... + 4067105046.

Almost surely, 2^{22015224966420} is an apocalyptic number.

22015224966420 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 22015224966420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41220736558848).

22015224966420 is an abundant number, since it is smaller than the sum of its proper divisors (60426248151276).

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

22015224966420 is a wasteful number, since it uses less digits than its factorization.

22015224966420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22015224966420 in words is "twenty-two trillion, fifteen billion, two hundred twenty-four million, nine hundred sixty-six thousand, four hundred twenty".