21882847151748 has 384 divisors, whose sum is σ = 61134600683520. Its totient is φ = 6018310471680.

The previous prime is 21882847151747. The next prime is 21882847151773. The reversal of 21882847151748 is 84715174828812.

It is a super-2 number, since 2×21882847151748² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) 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 (66).

It is not an unprimeable number, because it can be changed into a prime (21882847151747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1332930036 + ... + 1332946452.

It is an arithmetic number, because the mean of its divisors is an integer number (159204689280).

Almost surely, 2^{21882847151748} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21882847151748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30567300341760).

21882847151748 is an abundant number, since it is smaller than the sum of its proper divisors (39251753531772).

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

21882847151748 is a wasteful number, since it uses less digits than its factorization.

21882847151748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16707 (or 16705 counting only the distinct ones).

The product of its digits is 64225280, while the sum is 66.

The spelling of 21882847151748 in words is "twenty-one trillion, eight hundred eighty-two billion, eight hundred forty-seven million, one hundred fifty-one thousand, seven hundred forty-eight".