54036300363045 has 128 divisors (see below), whose sum is σ = 116852347035648. Its totient is φ = 20591929728000.

The previous prime is 54036300363037. The next prime is 54036300363047.

It is a happy number.

54036300363045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54036300363045 - 2³ = 54036300363037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54036300362988 and 54036300363006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54036300363047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9649362 + ... + 14183891.

It is an arithmetic number, because the mean of its divisors is an integer number (912908961216).

Almost surely, 2^{54036300363045} is an apocalyptic number.

54036300363045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54036300363045 is an abundant number, since it is smaller than the sum of its proper divisors (62816046672603).

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

54036300363045 is a wasteful number, since it uses less digits than its factorization.

54036300363045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23833443.

The product of its (nonzero) digits is 1166400, while the sum is 42.

It can be divided in two parts, 54036300 and 363045, that added together give a palindrome (54399345).

The spelling of 54036300363045 in words is "fifty-four trillion, thirty-six billion, three hundred million, three hundred sixty-three thousand, forty-five".