1896377306148 has 504 divisors, whose sum is σ = 5845040026056. Its totient is φ = 535685529600.

The previous prime is 1896377306147. The next prime is 1896377306149. The reversal of 1896377306148 is 8416037736981.

1896377306148 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 3 + 7 + 7 + 3 + 0 + 614 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1896377306147) and next prime (1896377306149).

It can be written as a sum of positive squares in 12 ways, for example, as 1394968863744 + 501408442404 = 1181088^2 + 708102^2 .

It is not an unprimeable number, because it can be changed into a prime (1896377306147) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 343481628 + ... + 343487148.

It is an arithmetic number, because the mean of its divisors is an integer number (11597301639).

Almost surely, 2^{1896377306148} is an apocalyptic number.

1896377306148 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 1896377306148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922520013028).

1896377306148 is an abundant number, since it is smaller than the sum of its proper divisors (3948662719908).

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

1896377306148 is a wasteful number, since it uses less digits than its factorization.

1896377306148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1896377306148 in words is "one trillion, eight hundred ninety-six billion, three hundred seventy-seven million, three hundred six thousand, one hundred forty-eight".