1945242106038 has 384 divisors, whose sum is σ = 5511621832704. Its totient is φ = 481178880000.

The previous prime is 1945242106019. The next prime is 1945242106039. The reversal of 1945242106038 is 8306012425491.

1945242106038 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 24 + 2 + 10 + 603 + 8 = 666.

It is a super-2 number, since 2×1945242106038² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1945242105984 and 1945242106002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945242106039) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2041176970 + ... + 2041177922.

It is an arithmetic number, because the mean of its divisors is an integer number (14353181856).

Almost surely, 2^{1945242106038} is an apocalyptic number.

1945242106038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945242106038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755810916352).

1945242106038 is an abundant number, since it is smaller than the sum of its proper divisors (3566379726666).

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

1945242106038 is a wasteful number, since it uses less digits than its factorization.

1945242106038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1945242106038 in words is "one trillion, nine hundred forty-five billion, two hundred forty-two million, one hundred six thousand, thirty-eight".