21960949248 has 480 divisors, whose sum is σ = 79398221760. Its totient is φ = 5697699840.

The previous prime is 21960949247. The next prime is 21960949267. The reversal of 21960949248 is 84294906912.

21960949248 is a `hidden beast` number, since 2 + 1 + 9 + 609 + 4 + 9 + 24 + 8 = 666.

It is a super-4 number, since 4×21960949248⁴ (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21960949194 and 21960949203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21960949243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15901518 + ... + 15902898.

It is an arithmetic number, because the mean of its divisors is an integer number (165412962).

Almost surely, 2^21960949248 is an apocalyptic number.

21960949248 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 21960949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39699110880).

21960949248 is an abundant number, since it is smaller than the sum of its proper divisors (57437272512).

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

21960949248 is a wasteful number, since it uses less digits than its factorization.

21960949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 21960949248 in words is "twenty-one billion, nine hundred sixty million, nine hundred forty-nine thousand, two hundred forty-eight".