1464110854272 has 1024 divisors, whose sum is σ = 5069827584000. Its totient is φ = 411586560000.

The previous prime is 1464110854267. The next prime is 1464110854277. The reversal of 1464110854272 is 2724580114641.

1464110854272 is a `hidden beast` number, since 1 + 464 + 1 + 1 + 0 + 85 + 42 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1464110854267) and next prime (1464110854277).

It is not an unprimeable number, because it can be changed into a prime (1464110854277) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5210358772 + ... + 5210359052.

It is an arithmetic number, because the mean of its divisors is an integer number (4951003500).

Almost surely, 2^{1464110854272} is an apocalyptic number.

1464110854272 is a gapful number since it is divisible by the number (12) 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 1464110854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534913792000).

1464110854272 is an abundant number, since it is smaller than the sum of its proper divisors (3605716729728).

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

1464110854272 is a wasteful number, since it uses less digits than its factorization.

1464110854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1464110854272 in words is "one trillion, four hundred sixty-four billion, one hundred ten million, eight hundred fifty-four thousand, two hundred seventy-two".