1493417951256 has 512 divisors, whose sum is σ = 5011084984320. Its totient is φ = 359464089600.

The previous prime is 1493417951183. The next prime is 1493417951261. The reversal of 1493417951256 is 6521597143941.

It is a junction number, because it is equal to n+sod(n) for n = 1493417951196 and 1493417951205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173709550 + ... + 173718146.

It is an arithmetic number, because the mean of its divisors is an integer number (9787275360).

Almost surely, 2^{1493417951256} 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 1493417951256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505542492160).

1493417951256 is an abundant number, since it is smaller than the sum of its proper divisors (3517667033064).

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

1493417951256 is a wasteful number, since it uses less digits than its factorization.

1493417951256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8775 (or 8771 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The spelling of 1493417951256 in words is "one trillion, four hundred ninety-three billion, four hundred seventeen million, nine hundred fifty-one thousand, two hundred fifty-six".