541478181049344 has 5544 divisors, whose sum is σ = 2247060785316480. Its totient is φ = 129454589214720.

The previous prime is 541478181049331. The next prime is 541478181049349. The reversal of 541478181049344 is 443940181874145.

541478181049344 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 78 + 181 + 0 + 49 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (5544).

It is a super-5 number, since 5×541478181049344⁵ (a number of 75 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541478181049349) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 3952395482044 + ... + 3952395482180.

Almost surely, 2^{541478181049344} is an apocalyptic number.

541478181049344 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 541478181049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123530392658240).

541478181049344 is an abundant number, since it is smaller than the sum of its proper divisors (1705582604267136).

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

541478181049344 is a wasteful number, since it uses less digits than its factorization.

541478181049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 541478181049344 in words is "five hundred forty-one trillion, four hundred seventy-eight billion, one hundred eighty-one million, forty-nine thousand, three hundred forty-four".