12456465504 has 96 divisors (see below), whose sum is σ = 37700328960. Its totient is φ = 3527473152.

The previous prime is 12456465491. The next prime is 12456465509. The reversal of 12456465504 is 40556465421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456465509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6084 + ... + 157955.

It is an arithmetic number, because the mean of its divisors is an integer number (392711760).

Almost surely, 2^12456465504 is an apocalyptic number.

12456465504 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 12456465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850164480).

12456465504 is an abundant number, since it is smaller than the sum of its proper divisors (25243863456).

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

12456465504 is a wasteful number, since it uses less digits than its factorization.

12456465504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164172 (or 164164 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 12456465504 in words is "twelve billion, four hundred fifty-six million, four hundred sixty-five thousand, five hundred four".