541954103712 has 192 divisors, whose sum is σ = 1651216896000. Its totient is φ = 152440704000.

The previous prime is 541954103687. The next prime is 541954103753. The reversal of 541954103712 is 217301459145.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 18513087 + ... + 18542337.

It is an arithmetic number, because the mean of its divisors is an integer number (8600088000).

Almost surely, 2^541954103712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541954103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825608448000).

541954103712 is an abundant number, since it is smaller than the sum of its proper divisors (1109262792288).

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

541954103712 is a wasteful number, since it uses less digits than its factorization.

541954103712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29699 (or 29691 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 541954103712 in words is "five hundred forty-one billion, nine hundred fifty-four million, one hundred three thousand, seven hundred twelve".