541747374336 has 864 divisors, whose sum is σ = 2027351047680. Its totient is φ = 141686931456.

The previous prime is 541747374331. The next prime is 541747374397. The reversal of 541747374336 is 633473747145.

541747374336 is a `hidden beast` number, since 5 + 4 + 174 + 7 + 37 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×541747374336² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (541747374331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213033481 + ... + 213036023.

It is an arithmetic number, because the mean of its divisors is an integer number (2346471120).

Almost surely, 2^541747374336 is an apocalyptic number.

541747374336 is a gapful number since it is divisible by the number (56) 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 541747374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013675523840).

541747374336 is an abundant number, since it is smaller than the sum of its proper divisors (1485603673344).

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

541747374336 is a wasteful number, since it uses less digits than its factorization.

541747374336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2609 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 541747374336 in words is "five hundred forty-one billion, seven hundred forty-seven million, three hundred seventy-four thousand, three hundred thirty-six".