412908925347648 has 224 divisors, whose sum is σ = 1217421022608000. Its totient is φ = 137234678169600.

The previous prime is 412908925347623. The next prime is 412908925347691. The reversal of 412908925347648 is 846743529809214.

412908925347648 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 0 + 89 + 2 + 534 + 7 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1367545498 + ... + 1367847398.

It is an arithmetic number, because the mean of its divisors is an integer number (5434915279500).

It is a 1-persistent number, because it is pandigital, but 2⋅412908925347648 = 825817850695296 is not.

Almost surely, 2^{412908925347648} is an apocalyptic number.

412908925347648 is a gapful number since it is divisible by the number (48) 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 412908925347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608710511304000).

412908925347648 is an abundant number, since it is smaller than the sum of its proper divisors (804512097260352).

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

412908925347648 is a wasteful number, since it uses less digits than its factorization.

412908925347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304230 (or 304214 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 412908925347648 in words is "four hundred twelve trillion, nine hundred eight billion, nine hundred twenty-five million, three hundred forty-seven thousand, six hundred forty-eight".