54945000054945 has 768 divisors, whose sum is σ = 142861458432000. Its totient is φ = 19428387010560.

The previous prime is 54945000054943. The next prime is 54945000054947.

It is a happy number.

54945000054945 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 50 + 0 + 0 + 0 + 549 + 45 = 666.

54945000054945 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54945000054943) and next prime (54945000054947).

It is not a de Polignac number, because 54945000054945 - 2¹ = 54945000054943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54945000054891 and 54945000054900.

It is not an unprimeable number, because it can be changed into a prime (54945000054943) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1044972666 + ... + 1045025244.

It is an arithmetic number, because the mean of its divisors is an integer number (186017524000).

Almost surely, 2^{54945000054945} is an apocalyptic number.

54945000054945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54945000054945 is an abundant number, since it is smaller than the sum of its proper divisors (87916458377055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54945000054945 is a wasteful number, since it uses less digits than its factorization.

54945000054945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52691 (or 52674 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

It can be divided in two parts, 549450000 and 54945, that multiplied together give a square (30189530250000 = 5494500²).

The spelling of 54945000054945 in words is "fifty-four trillion, nine hundred forty-five billion, fifty-four thousand, nine hundred forty-five".