1938540883968 has 1248 divisors, whose sum is σ = 6729895972800. Its totient is φ = 532030685184.

The previous prime is 1938540883921. The next prime is 1938540883997. The reversal of 1938540883968 is 8693880458391.

1938540883968 is a `hidden beast` number, since 1 + 9 + 3 + 85 + 408 + 83 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1938540883896 and 1938540883905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17784778698 + ... + 17784778806.

It is an arithmetic number, because the mean of its divisors is an integer number (5392544850).

Almost surely, 2^{1938540883968} is an apocalyptic number.

1938540883968 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 1938540883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364947986400).

1938540883968 is an abundant number, since it is smaller than the sum of its proper divisors (4791355088832).

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

1938540883968 is a wasteful number, since it uses less digits than its factorization.

1938540883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 1938540883968 in words is "one trillion, nine hundred thirty-eight billion, five hundred forty million, eight hundred eighty-three thousand, nine hundred sixty-eight".