21949014528 has 400 divisors, whose sum is σ = 76448380800. Its totient is φ = 6267082752.

The previous prime is 21949014469. The next prime is 21949014541. The reversal of 21949014528 is 82541094912.

It is a happy number.

21949014528 is a `hidden beast` number, since 2 + 19 + 490 + 145 + 2 + 8 = 666.

It is a super-4 number, since 4×21949014528⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14224125 + ... + 14225667.

It is an arithmetic number, because the mean of its divisors is an integer number (191120952).

Almost surely, 2^21949014528 is an apocalyptic number.

21949014528 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 21949014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38224190400).

21949014528 is an abundant number, since it is smaller than the sum of its proper divisors (54499366272).

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

21949014528 is an frugal number, since it uses more digits than its factorization.

21949014528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21949014528 in words is "twenty-one billion, nine hundred forty-nine million, fourteen thousand, five hundred twenty-eight".