1464314017152 has 256 divisors, whose sum is σ = 4708393505280. Its totient is φ = 393625436160.

The previous prime is 1464314017151. The next prime is 1464314017183. The reversal of 1464314017152 is 2517104134641.

It is a super-2 number, since 2×1464314017152² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1464314017152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464314017151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236290918 + ... + 236297114.

It is an arithmetic number, because the mean of its divisors is an integer number (18392162130).

Almost surely, 2^{1464314017152} is an apocalyptic number.

1464314017152 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 1464314017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354196752640).

1464314017152 is an abundant number, since it is smaller than the sum of its proper divisors (3244079488128).

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

1464314017152 is a wasteful number, since it uses less digits than its factorization.

1464314017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1464314017152 in words is "one trillion, four hundred sixty-four billion, three hundred fourteen million, seventeen thousand, one hundred fifty-two".