1471601664 has 264 divisors, whose sum is σ = 4667356512. Its totient is φ = 443842560.

The previous prime is 1471601633. The next prime is 1471601687. The reversal of 1471601664 is 4661061741.

It is a happy number.

1471601664 is a `hidden beast` number, since 1 + 47 + 1 + 601 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1471601664² = 4331222914975137792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8506282 + ... + 8506454.

Almost surely, 2^1471601664 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 1471601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333678256).

1471601664 is an abundant number, since it is smaller than the sum of its proper divisors (3195754848).

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

1471601664 is a wasteful number, since it uses less digits than its factorization.

1471601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1471601664 is about 38361.4606604076. The cubic root of 1471601664 is about 1137.4441726656. Note that the first 3 decimals are identical.

The spelling of 1471601664 in words is "one billion, four hundred seventy-one million, six hundred one thousand, six hundred sixty-four".