21337160150016 has 1056 divisors, whose sum is σ = 69150910308480. Its totient is φ = 6305454489600.

The previous prime is 21337160150011. The next prime is 21337160150023. The reversal of 21337160150016 is 61005106173312.

21337160150016 is a `hidden beast` number, since 2 + 1 + 3 + 37 + 1 + 601 + 5 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21337160150011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46284512026 + ... + 46284512486.

It is an arithmetic number, because the mean of its divisors is an integer number (65483816580).

Almost surely, 2^{21337160150016} 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 21337160150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34575455154240).

21337160150016 is an abundant number, since it is smaller than the sum of its proper divisors (47813750158464).

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

21337160150016 is a wasteful number, since it uses less digits than its factorization.

21337160150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 21337160150016 in words is "twenty-one trillion, three hundred thirty-seven billion, one hundred sixty million, one hundred fifty thousand, sixteen".