21458196144 has 720 divisors, whose sum is σ = 81504783360. Its totient is φ = 5139763200.

The previous prime is 21458196121. The next prime is 21458196157. The reversal of 21458196144 is 44169185412.

21458196144 is a `hidden beast` number, since 2 + 1 + 4 + 581 + 9 + 61 + 4 + 4 = 666.

Its product of digits (276480) is a multiple of the sum of its prime factors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 21458196144.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163802959 + ... + 163803089.

It is an arithmetic number, because the mean of its divisors is an integer number (113201088).

Almost surely, 2^21458196144 is an apocalyptic number.

21458196144 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 21458196144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40752391680).

21458196144 is an abundant number, since it is smaller than the sum of its proper divisors (60046587216).

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

21458196144 is a wasteful number, since it uses less digits than its factorization.

21458196144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 21458196144 in words is "twenty-one billion, four hundred fifty-eight million, one hundred ninety-six thousand, one hundred forty-four".