54964633646945 has 16 divisors (see below), whose sum is σ = 73627044144192. Its totient is φ = 39044644618560.

The previous prime is 54964633646891. The next prime is 54964633646983.

54964633646945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54964633646945 - 2¹⁴ = 54964633630561 is a prime.

It is a super-2 number, since 2×54964633646945² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11620427582 + ... + 11620432311.

It is an arithmetic number, because the mean of its divisors is an integer number (4601690259012).

Almost surely, 2^{54964633646945} is an apocalyptic number.

54964633646945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54964633646945 is a deficient number, since it is larger than the sum of its proper divisors (18662410497247).

54964633646945 is a wasteful number, since it uses less digits than its factorization.

54964633646945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23240859952.

The product of its digits is 6046617600, while the sum is 74.

The spelling of 54964633646945 in words is "fifty-four trillion, nine hundred sixty-four billion, six hundred thirty-three million, six hundred forty-six thousand, nine hundred forty-five".