22888137888 has 288 divisors, whose sum is σ = 81459810432. Its totient is φ = 5922201600.

The previous prime is 22888137871. The next prime is 22888137929. The reversal of 22888137888 is 88873188822.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22888137888² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6229620 + ... + 6233292.

It is an arithmetic number, because the mean of its divisors is an integer number (282846564).

Almost surely, 2^22888137888 is an apocalyptic number.

22888137888 is a gapful number since it is divisible by the number (28) 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 22888137888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40729905216).

22888137888 is an abundant number, since it is smaller than the sum of its proper divisors (58571672544).

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

22888137888 is a wasteful number, since it uses less digits than its factorization.

22888137888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3977 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 63.

The spelling of 22888137888 in words is "twenty-two billion, eight hundred eighty-eight million, one hundred thirty-seven thousand, eight hundred eighty-eight".