754055006848 has 256 divisors, whose sum is σ = 1781126807040. Its totient is φ = 313484636160.

The previous prime is 754055006821. The next prime is 754055006849. The reversal of 754055006848 is 848600550457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 754055006795 and 754055006804.

It is not an unprimeable number, because it can be changed into a prime (754055006849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441787515 + ... + 1441788037.

It is an arithmetic number, because the mean of its divisors is an integer number (6957526590).

Almost surely, 2^754055006848 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 754055006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890563403520).

754055006848 is an abundant number, since it is smaller than the sum of its proper divisors (1027071800192).

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

754055006848 is a wasteful number, since it uses less digits than its factorization.

754055006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 52.

The spelling of 754055006848 in words is "seven hundred fifty-four billion, fifty-five million, six thousand, eight hundred forty-eight".