541387454944896 has 480 divisors, whose sum is σ = 1818254357414820. Its totient is φ = 154612860272640.

The previous prime is 541387454944877. The next prime is 541387454944957. The reversal of 541387454944896 is 698449454783145.

541387454944896 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 8 + 7 + 45 + 4 + 94 + 489 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 541360734465600 + 26720479296 = 23267160^2 + 163464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6342285256 + ... + 6342370616.

Almost surely, 2^{541387454944896} is an apocalyptic number.

541387454944896 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 541387454944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909127178707410).

541387454944896 is an abundant number, since it is smaller than the sum of its proper divisors (1276866902469924).

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

541387454944896 is an equidigital number, since it uses as much as digits as its factorization.

541387454944896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87702 (or 87666 counting only the distinct ones).

The product of its digits is 16721510400, while the sum is 81.

The spelling of 541387454944896 in words is "five hundred forty-one trillion, three hundred eighty-seven billion, four hundred fifty-four million, nine hundred forty-four thousand, eight hundred ninety-six".