211646146363640 has 128 divisors (see below), whose sum is σ = 491205604276800. Its totient is φ = 82043272396800.

The previous prime is 211646146363627. The next prime is 211646146363649. The reversal of 211646146363640 is 46363641646112.

It is a super-2 number, since 2×211646146363640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211646146363649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40006616 + ... + 44986904.

Almost surely, 2^{211646146363640} is an apocalyptic number.

211646146363640 is a gapful number since it is divisible by the number (20) 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 211646146363640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245602802138400).

211646146363640 is an abundant number, since it is smaller than the sum of its proper divisors (279559457913160).

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

211646146363640 is a wasteful number, since it uses less digits than its factorization.

211646146363640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980625 (or 4980621 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 53.

The spelling of 211646146363640 in words is "two hundred eleven trillion, six hundred forty-six billion, one hundred forty-six million, three hundred sixty-three thousand, six hundred forty".