1616338066944 has 320 divisors, whose sum is σ = 4737467496960. Its totient is φ = 487432028160.

The previous prime is 1616338066943. The next prime is 1616338066997. The reversal of 1616338066944 is 4496608336161.

It is a super-2 number, since 2×1616338066944² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616338066943) 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, 508121034 + ... + 508124214.

It is an arithmetic number, because the mean of its divisors is an integer number (14804585928).

Almost surely, 2^{1616338066944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616338066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368733748480).

1616338066944 is an abundant number, since it is smaller than the sum of its proper divisors (3121129430016).

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

1616338066944 is a wasteful number, since it uses less digits than its factorization.

1616338066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 1616338066944 in words is "one trillion, six hundred sixteen billion, three hundred thirty-eight million, sixty-six thousand, nine hundred forty-four".