54633066144 has 96 divisors (see below), whose sum is σ = 144240445440. Its totient is φ = 18106021632.

The previous prime is 54633066143. The next prime is 54633066193. The reversal of 54633066144 is 44166033645.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54633066096 and 54633066105.

It is not an unprimeable number, because it can be changed into a prime (54633066143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26951659 + ... + 26953685.

It is an arithmetic number, because the mean of its divisors is an integer number (1502504640).

Almost surely, 2^54633066144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54633066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72120222720).

54633066144 is an abundant number, since it is smaller than the sum of its proper divisors (89607379296).

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

54633066144 is a wasteful number, since it uses less digits than its factorization.

54633066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 54633066144 its reverse (44166033645), we get a palindrome (98799099789).

The spelling of 54633066144 in words is "fifty-four billion, six hundred thirty-three million, sixty-six thousand, one hundred forty-four".