1616364010464 has 384 divisors, whose sum is σ = 5123444659200. Its totient is φ = 436470988800.

The previous prime is 1616364010441. The next prime is 1616364010529. The reversal of 1616364010464 is 4640104636161.

It is a super-2 number, since 2×1616364010464² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175173019 + ... + 175182245.

It is an arithmetic number, because the mean of its divisors is an integer number (13342303800).

Almost surely, 2^{1616364010464} is an apocalyptic number.

1616364010464 is a gapful number since it is divisible by the number (14) 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 1616364010464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561722329600).

1616364010464 is an abundant number, since it is smaller than the sum of its proper divisors (3507080648736).

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

1616364010464 is a wasteful number, since it uses less digits than its factorization.

1616364010464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 1616364010464 in words is "one trillion, six hundred sixteen billion, three hundred sixty-four million, ten thousand, four hundred sixty-four".