5464431006948 has 144 divisors (see below), whose sum is σ = 14504321220480. Its totient is φ = 1732313705472.

The previous prime is 5464431006871. The next prime is 5464431006949. The reversal of 5464431006948 is 8496001344645.

5464431006948 is a `hidden beast` number, since 5 + 4 + 6 + 443 + 100 + 6 + 94 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5464431006894 and 5464431006903.

It is not an unprimeable number, because it can be changed into a prime (5464431006949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29108161 + ... + 29295287.

It is an arithmetic number, because the mean of its divisors is an integer number (100724452920).

Almost surely, 2^{5464431006948} is an apocalyptic number.

5464431006948 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5464431006948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252160610240).

5464431006948 is an abundant number, since it is smaller than the sum of its proper divisors (9039890213532).

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

5464431006948 is a wasteful number, since it uses less digits than its factorization.

5464431006948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187586 (or 187581 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5464431006948 in words is "five trillion, four hundred sixty-four billion, four hundred thirty-one million, six thousand, nine hundred forty-eight".