20398584181248 has 2400 divisors, whose sum is σ = 82379176863984. Its totient is φ = 4962052472832.

The previous prime is 20398584181247. The next prime is 20398584181273. The reversal of 20398584181248 is 84218148589302.

20398584181248 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 8 + 584 + 1 + 8 + 1 + 2 + 48 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16330262909184 + 4068321272064 = 4041072^2 + 2017008^2 .

It is a super-2 number, since 2×20398584181248² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20398584181243) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23802314836 + ... + 23802315692.

Almost surely, 2^{20398584181248} is an apocalyptic number.

20398584181248 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 20398584181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189588431992).

20398584181248 is an abundant number, since it is smaller than the sum of its proper divisors (61980592682736).

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

20398584181248 is a wasteful number, since it uses less digits than its factorization.

20398584181248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 20398584181248 in words is "twenty trillion, three hundred ninety-eight billion, five hundred eighty-four million, one hundred eighty-one thousand, two hundred forty-eight".