1457201664 has 200 divisors, whose sum is σ = 4460644188. Its totient is φ = 473333760.

The previous prime is 1457201621. The next prime is 1457201723. The reversal of 1457201664 is 4661027541.

1457201664 is a `hidden beast` number, since 14 + 572 + 0 + 16 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1456185600 + 1016064 = 38160^2 + 1008^2 .

It is a super-4 number, since 4×1457201664⁴ (a number of 38 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1699924 + ... + 1700780.

Almost surely, 2^1457201664 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 1457201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230322094).

1457201664 is an abundant number, since it is smaller than the sum of its proper divisors (3003442524).

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

1457201664 is an frugal number, since it uses more digits than its factorization.

1457201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1457201664 is about 38173.3108860104. The cubic root of 1457201664 is about 1133.7219440882.

The spelling of 1457201664 in words is "one billion, four hundred fifty-seven million, two hundred one thousand, six hundred sixty-four".