612448591104 has 576 divisors, whose sum is σ = 2218257377280. Its totient is φ = 162689679360.

The previous prime is 612448591093. The next prime is 612448591129. The reversal of 612448591104 is 401195844216.

612448591104 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 48 + 591 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 612448591104.

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, 68265339 + ... + 68274309.

It is an arithmetic number, because the mean of its divisors is an integer number (3851141280).

Almost surely, 2^612448591104 is an apocalyptic number.

612448591104 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 612448591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109128688640).

612448591104 is an abundant number, since it is smaller than the sum of its proper divisors (1605808786176).

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

612448591104 is a wasteful number, since it uses less digits than its factorization.

612448591104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9103 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 612448591104 in words is "six hundred twelve billion, four hundred forty-eight million, five hundred ninety-one thousand, one hundred four".