22465428480 has 1056 divisors, whose sum is σ = 92703356928. Its totient is φ = 4974182400.

The previous prime is 22465428467. The next prime is 22465428539. The reversal of 22465428480 is 8482456422.

22465428480 is a `hidden beast` number, since 2 + 24 + 6 + 542 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×22465428480² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 477987817 + ... + 477987863.

Almost surely, 2^22465428480 is an apocalyptic number.

22465428480 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 22465428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46351678464).

22465428480 is an abundant number, since it is smaller than the sum of its proper divisors (70237928448).

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

22465428480 is a wasteful number, since it uses less digits than its factorization.

22465428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 22465428480 in words is "twenty-two billion, four hundred sixty-five million, four hundred twenty-eight thousand, four hundred eighty".