22451266224 has 60 divisors (see below), whose sum is σ = 63897342600. Its totient is φ = 7356909312.

The previous prime is 22451266199. The next prime is 22451266249. The reversal of 22451266224 is 42266215422.

22451266224 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 1 + 26 + 622 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22451266199) and next prime (22451266249).

It is a super-4 number, since 4×22451266224⁴ (a number of 43 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312789 + ... + 1329780.

It is an arithmetic number, because the mean of its divisors is an integer number (1064955710).

Almost surely, 2^22451266224 is an apocalyptic number.

22451266224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22451266224 is an abundant number, since it is smaller than the sum of its proper divisors (41446076376).

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

22451266224 is a wasteful number, since it uses less digits than its factorization.

22451266224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642642 (or 2642633 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 22451266224 in words is "twenty-two billion, four hundred fifty-one million, two hundred sixty-six thousand, two hundred twenty-four".