54141311854084 has 81 divisors (see below), whose sum is σ = 119349533639007. Its totient is φ = 21418011171648.

The previous prime is 54141311854067. The next prime is 54141311854141. The reversal of 54141311854084 is 48045811314145.

The square root of 54141311854084 is 7358078.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 108933002500 + 54032378851584 = 330050^2 + 7350672^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 1339149982 + ... + 1339190410.

Almost surely, 2^{54141311854084} is an apocalyptic number.

54141311854084 is the 7358078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54141311854084

54141311854084 is an abundant number, since it is smaller than the sum of its proper divisors (65208221784923).

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

54141311854084 is an frugal number, since it uses more digits than its factorization.

54141311854084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80902 (or 40451 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

54141311854084 divided by its sum of digits (49) gives a square (1104924731716 = 1051154²).

The spelling of 54141311854084 in words is "fifty-four trillion, one hundred forty-one billion, three hundred eleven million, eight hundred fifty-four thousand, eighty-four".