21314151260064 has 192 divisors, whose sum is σ = 66966191510400. Its totient is φ = 6556447328256.

The previous prime is 21314151260029. The next prime is 21314151260111. The reversal of 21314151260064 is 46006215141312.

21314151260064 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 41 + 5 + 1 + 2 + 600 + 6 + 4 = 666.

It is a super-2 number, since 2×21314151260064² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42081667 + ... + 42585149.

It is an arithmetic number, because the mean of its divisors is an integer number (348782247450).

Almost surely, 2^{21314151260064} is an apocalyptic number.

21314151260064 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 21314151260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33483095755200).

21314151260064 is an abundant number, since it is smaller than the sum of its proper divisors (45652040250336).

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

21314151260064 is a wasteful number, since it uses less digits than its factorization.

21314151260064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507284 (or 507270 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21314151260064 in words is "twenty-one trillion, three hundred fourteen billion, one hundred fifty-one million, two hundred sixty thousand, sixty-four".