612941921643744 has 2700 divisors, whose sum is σ = 2390392379750760. Its totient is φ = 154070026387200.

The previous prime is 612941921643697. The next prime is 612941921643803. The reversal of 612941921643744 is 447346129149216.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

612941921643744 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 4 + 192 + 1 + 6 + 437 + 4 + 4 = 666.

612941921643744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (62705664) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 19772320053009 + ... + 19772320053039.

Almost surely, 2^{612941921643744} 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 612941921643744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195196189875380).

612941921643744 is an abundant number, since it is smaller than the sum of its proper divisors (1777450458107016).

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

612941921643744 is an frugal number, since it uses more digits than its factorization.

612941921643744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 54 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 612941921643744 in words is "six hundred twelve trillion, nine hundred forty-one billion, nine hundred twenty-one million, six hundred forty-three thousand, seven hundred forty-four".