4412651682816 has 1056 divisors, whose sum is σ = 15608366484480. Its totient is φ = 1221650546688.

The previous prime is 4412651682781. The next prime is 4412651682883. The reversal of 4412651682816 is 6182861562144.

4412651682816 is a `hidden beast` number, since 4 + 41 + 2 + 6 + 516 + 8 + 2 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2389090405 + ... + 2389092251.

It is an arithmetic number, because the mean of its divisors is an integer number (14780650080).

Almost surely, 2^{4412651682816} is an apocalyptic number.

4412651682816 is a gapful number since it is divisible by the number (46) 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 4412651682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804183242240).

4412651682816 is an abundant number, since it is smaller than the sum of its proper divisors (11195714801664).

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

4412651682816 is a wasteful number, since it uses less digits than its factorization.

4412651682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1905 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 4412651682816 in words is "four trillion, four hundred twelve billion, six hundred fifty-one million, six hundred eighty-two thousand, eight hundred sixteen".