54749977994745 has 384 divisors, whose sum is σ = 108465675042816. Its totient is φ = 25317411840000.

The previous prime is 54749977994737. The next prime is 54749977994771.

54749977994745 is a `hidden beast` number, since 5 + 4 + 7 + 49 + 9 + 7 + 7 + 99 + 474 + 5 = 666.

54749977994745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54749977994745 - 2³ = 54749977994737 is a prime.

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 383 ways as a sum of consecutive naturals, for example, 71944780165 + ... + 71944780925.

It is an arithmetic number, because the mean of its divisors is an integer number (282462695424).

Almost surely, 2^{54749977994745} is an apocalyptic number.

54749977994745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54749977994745 is a deficient number, since it is larger than the sum of its proper divisors (53715697048071).

54749977994745 is a wasteful number, since it uses less digits than its factorization.

54749977994745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1322 counting only the distinct ones).

The product of its digits is 100818950400, while the sum is 90.

The spelling of 54749977994745 in words is "fifty-four trillion, seven hundred forty-nine billion, nine hundred seventy-seven million, nine hundred ninety-four thousand, seven hundred forty-five".