54677033077645 has 64 divisors (see below), whose sum is σ = 73235778048000. Its totient is φ = 38854509408000.

The previous prime is 54677033077637. The next prime is 54677033077649.

It is a happy number.

54677033077645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54677033077645 - 2³ = 54677033077637 is a prime.

It is a super-3 number, since 3×54677033077645³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54677033077649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 956214666 + ... + 956271844.

It is an arithmetic number, because the mean of its divisors is an integer number (1144309032000).

Almost surely, 2^{54677033077645} is an apocalyptic number.

54677033077645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54677033077645 is a deficient number, since it is larger than the sum of its proper divisors (18558744970355).

54677033077645 is a wasteful number, since it uses less digits than its factorization.

54677033077645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59554.

The product of its (nonzero) digits is 311169600, while the sum is 64.

The spelling of 54677033077645 in words is "fifty-four trillion, six hundred seventy-seven billion, thirty-three million, seventy-seven thousand, six hundred forty-five".