1975463313408 has 648 divisors, whose sum is σ = 6425967981888. Its totient is φ = 606178639872.

The previous prime is 1975463313377. The next prime is 1975463313413. The reversal of 1975463313408 is 8043133645791.

1975463313408 is a `hidden beast` number, since 1 + 97 + 546 + 3 + 3 + 1 + 3 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5382733641 + ... + 5382734007.

It is an arithmetic number, because the mean of its divisors is an integer number (9916617256).

Almost surely, 2^{1975463313408} is an apocalyptic number.

1975463313408 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 1975463313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212983990944).

1975463313408 is an abundant number, since it is smaller than the sum of its proper divisors (4450504668480).

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

1975463313408 is an frugal number, since it uses more digits than its factorization.

1975463313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1975463313408 in words is "one trillion, nine hundred seventy-five billion, four hundred sixty-three million, three hundred thirteen thousand, four hundred eight".