1975493106144 has 576 divisors, whose sum is σ = 6515020512000. Its totient is φ = 563592314880.

The previous prime is 1975493106131. The next prime is 1975493106151. The reversal of 1975493106144 is 4416013945791.

1975493106144 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 4 + 9 + 3 + 10 + 614 + 4 = 666.

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, 482885539 + ... + 482889629.

It is an arithmetic number, because the mean of its divisors is an integer number (11310799500).

Almost surely, 2^{1975493106144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1975493106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257510256000).

1975493106144 is an abundant number, since it is smaller than the sum of its proper divisors (4539527405856).

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

1975493106144 is a wasteful number, since it uses less digits than its factorization.

1975493106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1975493106144 in words is "one trillion, nine hundred seventy-five billion, four hundred ninety-three million, one hundred six thousand, one hundred forty-four".