54264155146245 has 64 divisors (see below), whose sum is σ = 109815207321600. Its totient is φ = 25165984979520.

The previous prime is 54264155146211. The next prime is 54264155146249.

54264155146245 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 4 + 1 + 5 + 5 + 1 + 4 + 624 + 5 = 666.

54264155146245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54264155146245 - 2¹⁵ = 54264155113477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54264155146191 and 54264155146200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54264155146249) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 794346685 + ... + 794414994.

It is an arithmetic number, because the mean of its divisors is an integer number (1715862614400).

Almost surely, 2^{54264155146245} is an apocalyptic number.

54264155146245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54264155146245 is an abundant number, since it is smaller than the sum of its proper divisors (55551052175355).

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

54264155146245 is a wasteful number, since it uses less digits than its factorization.

54264155146245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588761727 (or 1588761721 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 54264155146245 in words is "fifty-four trillion, two hundred sixty-four billion, one hundred fifty-five million, one hundred forty-six thousand, two hundred forty-five".