1638484463616 has 832 divisors, whose sum is σ = 6056372453376. Its totient is φ = 380082585600.

The previous prime is 1638484463573. The next prime is 1638484463633. The reversal of 1638484463616 is 6163644848361.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×1638484463616² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1638484463616.

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, 381306780 + ... + 381311076.

Almost surely, 2^{1638484463616} is an apocalyptic number.

1638484463616 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 1638484463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028186226688).

1638484463616 is an abundant number, since it is smaller than the sum of its proper divisors (4417887989760).

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

1638484463616 is a wasteful number, since it uses less digits than its factorization.

1638484463616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4364 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 1638484463616 in words is "one trillion, six hundred thirty-eight billion, four hundred eighty-four million, four hundred sixty-three thousand, six hundred sixteen".