541000377216 has 384 divisors, whose sum is σ = 1820009664000. Its totient is φ = 157697280000.

The previous prime is 541000377179. The next prime is 541000377271. The reversal of 541000377216 is 612773000145.

It is a happy number.

541000377216 is a `hidden beast` number, since 541 + 0 + 0 + 0 + 37 + 72 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11072841 + ... + 11121591.

It is an arithmetic number, because the mean of its divisors is an integer number (4739608500).

Almost surely, 2^541000377216 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 541000377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910004832000).

541000377216 is an abundant number, since it is smaller than the sum of its proper divisors (1279009286784).

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

541000377216 is a wasteful number, since it uses less digits than its factorization.

541000377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48819 (or 48788 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 541000377216 in words is "five hundred forty-one billion, three hundred seventy-seven thousand, two hundred sixteen".