1475290865664 has 1344 divisors, whose sum is σ = 5698704660480. Its totient is φ = 366386872320.

The previous prime is 1475290865651. The next prime is 1475290865707. The reversal of 1475290865664 is 4665680925741.

1475290865664 is a `hidden beast` number, since 1 + 47 + 5 + 29 + 0 + 8 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 14323212237 + ... + 14323212339.

Almost surely, 2^{1475290865664} is an apocalyptic number.

1475290865664 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 1475290865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849352330240).

1475290865664 is an abundant number, since it is smaller than the sum of its proper divisors (4223413794816).

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

1475290865664 is a wasteful number, since it uses less digits than its factorization.

1475290865664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 1475290865664 in words is "one trillion, four hundred seventy-five billion, two hundred ninety million, eight hundred sixty-five thousand, six hundred sixty-four".