54351444415345 has 64 divisors (see below), whose sum is σ = 83992080678912. Its totient is φ = 32767535232000.

The previous prime is 54351444415319. The next prime is 54351444415423.

54351444415345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54351444415345 - 2¹³ = 54351444407153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54351444415292 and 54351444415301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17249065 + ... + 20155225.

It is an arithmetic number, because the mean of its divisors is an integer number (1312376260608).

Almost surely, 2^{54351444415345} is an apocalyptic number.

54351444415345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54351444415345 is a deficient number, since it is larger than the sum of its proper divisors (29640636263567).

54351444415345 is a wasteful number, since it uses less digits than its factorization.

54351444415345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907782.

The product of its digits is 23040000, while the sum is 52.

The spelling of 54351444415345 in words is "fifty-four trillion, three hundred fifty-one billion, four hundred forty-four million, four hundred fifteen thousand, three hundred forty-five".