54198187344 has 1120 divisors, whose sum is σ = 208177152000. Its totient is φ = 13579695360.

The previous prime is 54198187297. The next prime is 54198187349. The reversal of 54198187344 is 44378189145.

54198187344 is a `hidden beast` number, since 5 + 419 + 8 + 187 + 3 + 44 = 666.

It is a super-2 number, since 2×54198187344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3870720) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54198187349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1748328609 + ... + 1748328639.

Almost surely, 2^54198187344 is an apocalyptic number.

54198187344 is a gapful number since it is divisible by the number (54) 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 54198187344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104088576000).

54198187344 is an abundant number, since it is smaller than the sum of its proper divisors (153978964656).

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

54198187344 is a wasteful number, since it uses less digits than its factorization.

54198187344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 54198187344 in words is "fifty-four billion, one hundred ninety-eight million, one hundred eighty-seven thousand, three hundred forty-four".