20609271648 has 144 divisors (see below), whose sum is σ = 67631106816. Its totient is φ = 5831136000.

The previous prime is 20609271643. The next prime is 20609271653. The reversal of 20609271648 is 84617290602.

It is a happy number.

20609271648 is a `hidden beast` number, since 2 + 0 + 609 + 27 + 16 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20609271643) and next prime (20609271653).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20609271648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20609271643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158023 + ... + 257273.

It is an arithmetic number, because the mean of its divisors is an integer number (469660464).

Almost surely, 2^20609271648 is an apocalyptic number.

20609271648 is a gapful number since it is divisible by the number (28) 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 20609271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33815553408).

20609271648 is an abundant number, since it is smaller than the sum of its proper divisors (47021835168).

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

20609271648 is a wasteful number, since it uses less digits than its factorization.

20609271648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99377 (or 99366 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20609271648 in words is "twenty billion, six hundred nine million, two hundred seventy-one thousand, six hundred forty-eight".