21346074531936 has 1152 divisors, whose sum is σ = 84330467020800. Its totient is φ = 4953433927680.

The previous prime is 21346074531931. The next prime is 21346074531937. The reversal of 21346074531936 is 63913547064312.

21346074531936 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 6 + 0 + 74 + 531 + 9 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346074531931) 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, 525395655 + ... + 525436281.

It is an arithmetic number, because the mean of its divisors is an integer number (73203530400).

Almost surely, 2^{21346074531936} 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 21346074531936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42165233510400).

21346074531936 is an abundant number, since it is smaller than the sum of its proper divisors (62984392488864).

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

21346074531936 is a wasteful number, since it uses less digits than its factorization.

21346074531936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40752 (or 40741 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 21346074531936 in words is "twenty-one trillion, three hundred forty-six billion, seventy-four million, five hundred thirty-one thousand, nine hundred thirty-six".