1464556449664 has 288 divisors, whose sum is σ = 3933236930760. Its totient is φ = 537034014720.

The previous prime is 1464556449637. The next prime is 1464556449667. The reversal of 1464556449664 is 4669446554641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 1464556449596 and 1464556449605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464556449667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19901962 + ... + 19975414.

Almost surely, 2^{1464556449664} is an apocalyptic number.

1464556449664 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 1464556449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966618465380).

1464556449664 is an abundant number, since it is smaller than the sum of its proper divisors (2468680481096).

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

1464556449664 is a wasteful number, since it uses less digits than its factorization.

1464556449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73526 (or 73490 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 64.

The spelling of 1464556449664 in words is "one trillion, four hundred sixty-four billion, five hundred fifty-six million, four hundred forty-nine thousand, six hundred sixty-four".