22761419616 has 144 divisors (see below), whose sum is σ = 71407496160. Its totient is φ = 6832650240.

The previous prime is 22761419609. The next prime is 22761419641. The reversal of 22761419616 is 61691416722.

22761419616 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 14 + 19 + 616 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79365 + ... + 227643.

It is an arithmetic number, because the mean of its divisors is an integer number (495885390).

Almost surely, 2^22761419616 is an apocalyptic number.

22761419616 is a gapful number since it is divisible by the number (26) 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 22761419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703748080).

22761419616 is an abundant number, since it is smaller than the sum of its proper divisors (48646076544).

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

22761419616 is a wasteful number, since it uses less digits than its factorization.

22761419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148349 (or 148338 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 22761419616 in words is "twenty-two billion, seven hundred sixty-one million, four hundred nineteen thousand, six hundred sixteen".