648125743104 has 1152 divisors, whose sum is σ = 2476307635200. Its totient is φ = 165112971264.

The previous prime is 648125743099. The next prime is 648125743157. The reversal of 648125743104 is 401347521846.

648125743104 is a `hidden beast` number, since 6 + 4 + 81 + 257 + 4 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×648125743104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 648125743104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34111881207 + ... + 34111881225.

It is an arithmetic number, because the mean of its divisors is an integer number (2149572600).

Almost surely, 2^648125743104 is an apocalyptic number.

648125743104 is a gapful number since it is divisible by the number (64) 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 648125743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238153817600).

648125743104 is an abundant number, since it is smaller than the sum of its proper divisors (1828181892096).

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

648125743104 is an frugal number, since it uses more digits than its factorization.

648125743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 648125743104 in words is "six hundred forty-eight billion, one hundred twenty-five million, seven hundred forty-three thousand, one hundred four".