21016466108352 has 1344 divisors, whose sum is σ = 76635899698176. Its totient is φ = 5408113950720.

The previous prime is 21016466108333. The next prime is 21016466108359. The reversal of 21016466108352 is 25380166461012.

21016466108352 is a `hidden beast` number, since 2 + 10 + 16 + 4 + 6 + 610 + 8 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21016466108298 and 21016466108307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21016466108359) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37329424423 + ... + 37329424985.

It is an arithmetic number, because the mean of its divisors is an integer number (57020758704).

Almost surely, 2^{21016466108352} is an apocalyptic number.

21016466108352 is a gapful number since it is divisible by the number (22) 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 21016466108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38317949849088).

21016466108352 is an abundant number, since it is smaller than the sum of its proper divisors (55619433589824).

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

21016466108352 is a wasteful number, since it uses less digits than its factorization.

21016466108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21016466108352 in words is "twenty-one trillion, sixteen billion, four hundred sixty-six million, one hundred eight thousand, three hundred fifty-two".