22756193460 has 480 divisors, whose sum is σ = 95855139072. Its totient is φ = 4364513280.

The previous prime is 22756193431. The next prime is 22756193503. The reversal of 22756193460 is 6439165722.

22756193460 is a `hidden beast` number, since 2 + 27 + 5 + 619 + 3 + 4 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 159 ways as a sum of consecutive naturals, for example, 1614604 + ... + 1628636.

Almost surely, 2^22756193460 is an apocalyptic number.

22756193460 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 22756193460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47927569536).

22756193460 is an abundant number, since it is smaller than the sum of its proper divisors (73098945612).

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

22756193460 is a wasteful number, since it uses less digits than its factorization.

22756193460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14085 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 22756193460 in words is "twenty-two billion, seven hundred fifty-six million, one hundred ninety-three thousand, four hundred sixty".