1454169864 has 192 divisors, whose sum is σ = 4491417600. Its totient is φ = 390096000.

The previous prime is 1454169853. The next prime is 1454169889. The reversal of 1454169864 is 4689614541.

1454169864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1454169864³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3373729 + ... + 3374159.

It is an arithmetic number, because the mean of its divisors is an integer number (23392800).

Almost surely, 2^1454169864 is an apocalyptic number.

1454169864 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 1454169864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245708800).

1454169864 is an abundant number, since it is smaller than the sum of its proper divisors (3037247736).

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

1454169864 is a wasteful number, since it uses less digits than its factorization.

1454169864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 613 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1454169864 is about 38133.5792183215. The cubic root of 1454169864 is about 1132.9351381579.

The spelling of 1454169864 in words is "one billion, four hundred fifty-four million, one hundred sixty-nine thousand, eight hundred sixty-four".