54416547198 has 128 divisors (see below), whose sum is σ = 134895196800. Its totient is φ = 16144966656.

The previous prime is 54416547179. The next prime is 54416547209. The reversal of 54416547198 is 89174561445.

54416547198 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 6 + 547 + 1 + 98 = 666.

It is a super-2 number, since 2×54416547198² (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).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22738690 + ... + 22741082.

It is an arithmetic number, because the mean of its divisors is an integer number (1053868725).

Almost surely, 2^54416547198 is an apocalyptic number.

54416547198 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54416547198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67447598400).

54416547198 is an abundant number, since it is smaller than the sum of its proper divisors (80478649602).

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

54416547198 is a wasteful number, since it uses less digits than its factorization.

54416547198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3557 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 54416547198 in words is "fifty-four billion, four hundred sixteen million, five hundred forty-seven thousand, one hundred ninety-eight".