6315465401532 has 288 divisors, whose sum is σ = 19965685469184. Its totient is φ = 1641463142400.

The previous prime is 6315465401527. The next prime is 6315465401537. The reversal of 6315465401532 is 2351045645136.

It is a happy number.

6315465401532 is a `hidden beast` number, since 6 + 3 + 1 + 54 + 6 + 540 + 1 + 53 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6315465401527) and next prime (6315465401537).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315465401537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109003123 + ... + 109061045.

It is an arithmetic number, because the mean of its divisors is an integer number (69325296768).

Almost surely, 2^{6315465401532} is an apocalyptic number.

6315465401532 is a gapful number since it is divisible by the number (62) 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 6315465401532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982842734592).

6315465401532 is an abundant number, since it is smaller than the sum of its proper divisors (13650220067652).

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

6315465401532 is a wasteful number, since it uses less digits than its factorization.

6315465401532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58809 (or 58804 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 6315465401532 in words is "six trillion, three hundred fifteen billion, four hundred sixty-five million, four hundred one thousand, five hundred thirty-two".