54315633651345 has 512 divisors, whose sum is σ = 111155683000320. Its totient is φ = 24932686464000.

The previous prime is 54315633651337. The next prime is 54315633651371.

54315633651345 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 56 + 3 + 36 + 513 + 45 = 666.

54315633651345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54315633651345 - 2³ = 54315633651337 is a prime.

It is a super-3 number, since 3×54315633651345³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54315633651291 and 54315633651300.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 110622471550 + ... + 110622472040.

It is an arithmetic number, because the mean of its divisors is an integer number (217100943360).

Almost surely, 2^{54315633651345} is an apocalyptic number.

54315633651345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54315633651345 is an abundant number, since it is smaller than the sum of its proper divisors (56840049348975).

54315633651345 is a wasteful number, since it uses less digits than its factorization.

54315633651345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 54.

The spelling of 54315633651345 in words is "fifty-four trillion, three hundred fifteen billion, six hundred thirty-three million, six hundred fifty-one thousand, three hundred forty-five".