1934916652416 has 256 divisors, whose sum is σ = 5706146995200. Its totient is φ = 576040058880.

The previous prime is 1934916652363. The next prime is 1934916652439. The reversal of 1934916652416 is 6142566194391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59005561 + ... + 59038343.

It is an arithmetic number, because the mean of its divisors is an integer number (22289636700).

Almost surely, 2^{1934916652416} is an apocalyptic number.

1934916652416 is a gapful number since it is divisible by the number (16) 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 1934916652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853073497600).

1934916652416 is an abundant number, since it is smaller than the sum of its proper divisors (3771230342784).

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

1934916652416 is a wasteful number, since it uses less digits than its factorization.

1934916652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33057 (or 33045 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The spelling of 1934916652416 in words is "one trillion, nine hundred thirty-four billion, nine hundred sixteen million, six hundred fifty-two thousand, four hundred sixteen".