1897613202464 has 192 divisors, whose sum is σ = 4522972608000. Its totient is φ = 766504747008.

The previous prime is 1897613202449. The next prime is 1897613202491. The reversal of 1897613202464 is 4642023167981.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68499464 + ... + 68527160.

It is an arithmetic number, because the mean of its divisors is an integer number (23557149000).

Almost surely, 2^{1897613202464} is an apocalyptic number.

1897613202464 is a gapful number since it is divisible by the number (14) 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 1897613202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261486304000).

1897613202464 is an abundant number, since it is smaller than the sum of its proper divisors (2625359405536).

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

1897613202464 is a wasteful number, since it uses less digits than its factorization.

1897613202464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27995 (or 27987 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 1897613202464 in words is "one trillion, eight hundred ninety-seven billion, six hundred thirteen million, two hundred two thousand, four hundred sixty-four".