54014261345 has 32 divisors (see below), whose sum is σ = 71950464000. Its totient is φ = 38594508480.

The previous prime is 54014261309. The next prime is 54014261407. The reversal of 54014261345 is 54316241045.

It is not a de Polignac number, because 54014261345 - 2⁶ = 54014261281 is a prime.

It is a super-2 number, since 2×54014261345² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7067036 + ... + 7074674.

It is an arithmetic number, because the mean of its divisors is an integer number (2248452000).

Almost surely, 2^54014261345 is an apocalyptic number.

54014261345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54014261345 is a deficient number, since it is larger than the sum of its proper divisors (17936202655).

54014261345 is a wasteful number, since it uses less digits than its factorization.

54014261345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893.

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 54014261345 in words is "fifty-four billion, fourteen million, two hundred sixty-one thousand, three hundred forty-five".