21346770083184 has 640 divisors, whose sum is σ = 77440414607360. Its totient is φ = 5480475033600.

The previous prime is 21346770083183. The next prime is 21346770083189. The reversal of 21346770083184 is 48138007764312.

21346770083184 is a `hidden beast` number, since 2 + 1 + 3 + 467 + 70 + 0 + 8 + 31 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21346770083184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346770083183) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232563219 + ... + 232654989.

It is an arithmetic number, because the mean of its divisors is an integer number (121000647824).

Almost surely, 2^{21346770083184} is an apocalyptic number.

21346770083184 is a gapful number since it is divisible by the number (24) 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 21346770083184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38720207303680).

21346770083184 is an abundant number, since it is smaller than the sum of its proper divisors (56093644524176).

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

21346770083184 is a wasteful number, since it uses less digits than its factorization.

21346770083184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91966 (or 91954 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 21346770083184 in words is "twenty-one trillion, three hundred forty-six billion, seven hundred seventy million, eighty-three thousand, one hundred eighty-four".