1453745664 has 320 divisors, whose sum is σ = 5004679680. Its totient is φ = 408084480.

The previous prime is 1453745609. The next prime is 1453745681. The reversal of 1453745664 is 4665473541.

1453745664 is a `hidden beast` number, since 1 + 4 + 537 + 4 + 56 + 64 = 666.

It is a super-2 number, since 2×1453745664² = 4226752911197601792, 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 31 ways as a sum of consecutive naturals, for example, 8031654 + ... + 8031834.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2^1453745664 is an apocalyptic number.

1453745664 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 1453745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502339840).

1453745664 is an abundant number, since it is smaller than the sum of its proper divisors (3550934016).

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

1453745664 is an equidigital number, since it uses as much as digits as its factorization.

1453745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 1453745664 is about 38128.0167855607. The cubic root of 1453745664 is about 1132.8249635407.

The spelling of 1453745664 in words is "one billion, four hundred fifty-three million, seven hundred forty-five thousand, six hundred sixty-four".