20134655643102 has 512 divisors, whose sum is σ = 58780521676800. Its totient is φ = 4424780390400.

The previous prime is 20134655642999. The next prime is 20134655643203.

20134655643102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 755763702 + ... + 755790342.

It is an arithmetic number, because the mean of its divisors is an integer number (114805706400).

Almost surely, 2^{20134655643102} is an apocalyptic number.

20134655643102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134655643102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29390260838400).

20134655643102 is an abundant number, since it is smaller than the sum of its proper divisors (38645866033698).

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

20134655643102 is a wasteful number, since it uses less digits than its factorization.

20134655643102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26912.

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 2013465 and 5643102, that added together give a palindrome (7656567).

The spelling of 20134655643102 in words is "twenty trillion, one hundred thirty-four billion, six hundred fifty-five million, six hundred forty-three thousand, one hundred two".