975081201444 has 405 divisors, whose sum is σ = 3156760120899. Its totient is φ = 261637931520.

The previous prime is 975081201397. The next prime is 975081201499. The reversal of 975081201444 is 444102180579.

The square root of 975081201444 is 987462.

It is a perfect power (a square), and thus also a powerful number.

975081201444 is a `hidden beast` number, since 9 + 7 + 508 + 120 + 14 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12155062500 + 962926138944 = 110250^2 + 981288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 975081201444.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2115143374 + ... + 2115143834.

Almost surely, 2^975081201444 is an apocalyptic number.

975081201444 is the 987462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975081201444

975081201444 is an abundant number, since it is smaller than the sum of its proper divisors (2181678919455).

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

975081201444 is a wasteful number, since it uses less digits than its factorization.

975081201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 975081201444 in words is "nine hundred seventy-five billion, eighty-one million, two hundred one thousand, four hundred forty-four".