22149476640 has 144 divisors (see below), whose sum is σ = 76364798328. Its totient is φ = 5845598208.

The previous prime is 22149476639. The next prime is 22149476641. The reversal of 22149476640 is 4667494122.

It is an interprime number because it is at equal distance from previous prime (22149476639) and next prime (22149476641).

It can be written as a sum of positive squares in 4 ways, for example, as 21782217744 + 367258896 = 147588^2 + 19164^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (22149476641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60394 + ... + 218966.

Almost surely, 2^22149476640 is an apocalyptic number.

22149476640 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 22149476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38182399164).

22149476640 is an abundant number, since it is smaller than the sum of its proper divisors (54215321688).

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

22149476640 is a wasteful number, since it uses less digits than its factorization.

22149476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158691 (or 158680 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22149476640 in words is "twenty-two billion, one hundred forty-nine million, four hundred seventy-six thousand, six hundred forty".