21341704108032 has 1152 divisors, whose sum is σ = 81731346278400. Its totient is φ = 5193990144000.

The previous prime is 21341704107979. The next prime is 21341704108061. The reversal of 21341704108032 is 23080140714312.

21341704108032 is a `hidden beast` number, since 2 + 134 + 1 + 7 + 0 + 410 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5766467782 + ... + 5766471482.

It is an arithmetic number, because the mean of its divisors is an integer number (70947349200).

Almost surely, 2^{21341704108032} is an apocalyptic number.

21341704108032 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 21341704108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40865673139200).

21341704108032 is an abundant number, since it is smaller than the sum of its proper divisors (60389642170368).

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

21341704108032 is a wasteful number, since it uses less digits than its factorization.

21341704108032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21341704108032 in words is "twenty-one trillion, three hundred forty-one billion, seven hundred four million, one hundred eight thousand, thirty-two".