1336457664 has 112 divisors (see below), whose sum is σ = 3951569440. Its totient is φ = 442920960.

The previous prime is 1336457659. The next prime is 1336457687. The reversal of 1336457664 is 4667546331.

1336457664 is a `hidden beast` number, since 13 + 3 + 6 + 4 + 576 + 64 = 666.

It is a super-2 number, since 2×1336457664² = 3572238175328673792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310632 + ... + 314904.

It is an arithmetic number, because the mean of its divisors is an integer number (35281870).

Almost surely, 2^1336457664 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 1336457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975784720).

1336457664 is an abundant number, since it is smaller than the sum of its proper divisors (2615111776).

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

1336457664 is a wasteful number, since it uses less digits than its factorization.

1336457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4459 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 1336457664 is about 36557.5937939028. The cubic root of 1336457664 is about 1101.5014383935.

The spelling of 1336457664 in words is "one billion, three hundred thirty-six million, four hundred fifty-seven thousand, six hundred sixty-four".