20416014122364 has 216 divisors, whose sum is σ = 61038399698640. Its totient is φ = 5735750372352.

The previous prime is 20416014122347. The next prime is 20416014122393. The reversal of 20416014122364 is 46322141061402.

20416014122364 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 6 + 0 + 1 + 412 + 236 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 65675652 + ... + 65985780.

It is an arithmetic number, because the mean of its divisors is an integer number (282585183790).

Almost surely, 2^{20416014122364} 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 20416014122364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30519199849320).

20416014122364 is an abundant number, since it is smaller than the sum of its proper divisors (40622385576276).

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

20416014122364 is a wasteful number, since it uses less digits than its factorization.

20416014122364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310777 (or 310765 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 20416014122364 its reverse (46322141061402), we get a palindrome (66738155183766).

The spelling of 20416014122364 in words is "twenty trillion, four hundred sixteen billion, fourteen million, one hundred twenty-two thousand, three hundred sixty-four".