1475740685952 has 288 divisors, whose sum is σ = 4607529439500. Its totient is φ = 453171363840.

The previous prime is 1475740685933. The next prime is 1475740685981. The reversal of 1475740685952 is 2595860475741.

It is a happy number.

1475740685952 is a `hidden beast` number, since 1 + 4 + 7 + 574 + 0 + 6 + 8 + 5 + 9 + 52 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 300979515456 + 1174761170496 = 548616^2 + 1083864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1475740685952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101425174 + ... + 101439722.

Almost surely, 2^{1475740685952} is an apocalyptic number.

1475740685952 is a gapful number since it is divisible by the number (12) 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 1475740685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303764719750).

1475740685952 is an abundant number, since it is smaller than the sum of its proper divisors (3131788753548).

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

1475740685952 is a wasteful number, since it uses less digits than its factorization.

1475740685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15116 (or 15088 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 1475740685952 in words is "one trillion, four hundred seventy-five billion, seven hundred forty million, six hundred eighty-five thousand, nine hundred fifty-two".