1631838002256 has 800 divisors, whose sum is σ = 5968029450240. Its totient is φ = 418168396800.

The previous prime is 1631838002243. The next prime is 1631838002287. The reversal of 1631838002256 is 6522008381361.

1631838002256 is a `hidden beast` number, since 1 + 6 + 3 + 18 + 380 + 0 + 2 + 256 = 666.

It is a super-2 number, since 2×1631838002256² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4194956110 + ... + 4194956498.

Almost surely, 2^{1631838002256} is an apocalyptic number.

1631838002256 is a gapful number since it is divisible by the number (16) 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 1631838002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984014725120).

1631838002256 is an abundant number, since it is smaller than the sum of its proper divisors (4336191447984).

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

1631838002256 is a wasteful number, since it uses less digits than its factorization.

1631838002256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1631838002256 in words is "one trillion, six hundred thirty-one billion, eight hundred thirty-eight million, two thousand, two hundred fifty-six".