220406463648000 has 3456 divisors, whose sum is σ = 973203640980480. Its totient is φ = 46782008524800.

The previous prime is 220406463647983. The next prime is 220406463648017. The reversal of 220406463648000 is 846364604022.

220406463648000 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 0 + 6 + 4 + 636 + 4 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220406463647983) and next prime (220406463648017).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 509021855784 + ... + 509021856216.

Almost surely, 2^{220406463648000} is an apocalyptic number.

220406463648000 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 220406463648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486601820490240).

220406463648000 is an abundant number, since it is smaller than the sum of its proper divisors (752797177332480).

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

220406463648000 is a wasteful number, since it uses less digits than its factorization.

220406463648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 220406463648000 in words is "two hundred twenty trillion, four hundred six billion, four hundred sixty-three million, six hundred forty-eight thousand".