12354524545440 has 576 divisors, whose sum is σ = 48906289797120. Its totient is φ = 2566169548800.

The previous prime is 12354524545423. The next prime is 12354524545453. The reversal of 12354524545440 is 4454542545321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12354524545440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1511992555 + ... + 1512000725.

It is an arithmetic number, because the mean of its divisors is an integer number (84906753120).

Almost surely, 2^{12354524545440} is an apocalyptic number.

12354524545440 is a gapful number since it is divisible by the number (10) 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 12354524545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24453144898560).

12354524545440 is an abundant number, since it is smaller than the sum of its proper divisors (36551765251680).

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

12354524545440 is a wasteful number, since it uses less digits than its factorization.

12354524545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 48.

The spelling of 12354524545440 in words is "twelve trillion, three hundred fifty-four billion, five hundred twenty-four million, five hundred forty-five thousand, four hundred forty".