1616821566048 has 384 divisors, whose sum is σ = 5502291379200. Its totient is φ = 457328664576.

The previous prime is 1616821565993. The next prime is 1616821566089. The reversal of 1616821566048 is 8406651286161.

It is a happy number.

1616821566048 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 8 + 21 + 5 + 6 + 604 + 8 = 666.

It is a super-2 number, since 2×1616821566048² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1616821565985 and 1616821566003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8112133 + ... + 8309051.

It is an arithmetic number, because the mean of its divisors is an integer number (14328883800).

Almost surely, 2^{1616821566048} is an apocalyptic number.

1616821566048 is a gapful number since it is divisible by the number (18) 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 1616821566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751145689600).

1616821566048 is an abundant number, since it is smaller than the sum of its proper divisors (3885469813152).

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

1616821566048 is a wasteful number, since it uses less digits than its factorization.

1616821566048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197011 (or 196997 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1616821566048 in words is "one trillion, six hundred sixteen billion, eight hundred twenty-one million, five hundred sixty-six thousand, forty-eight".