12435797045952 has 1120 divisors, whose sum is σ = 45073648435200. Its totient is φ = 3384956252160.

The previous prime is 12435797045951. The next prime is 12435797045957. The reversal of 12435797045952 is 25954079753421.

12435797045952 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 579 + 7 + 0 + 4 + 5 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12435797045952.

It is not an unprimeable number, because it can be changed into a prime (12435797045951) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3134809473 + ... + 3134813439.

It is an arithmetic number, because the mean of its divisors is an integer number (40244328960).

Almost surely, 2^{12435797045952} is an apocalyptic number.

12435797045952 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 12435797045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22536824217600).

12435797045952 is an abundant number, since it is smaller than the sum of its proper divisors (32637851389248).

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

12435797045952 is an equidigital number, since it uses as much as digits as its factorization.

12435797045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 12435797045952 in words is "twelve trillion, four hundred thirty-five billion, seven hundred ninety-seven million, forty-five thousand, nine hundred fifty-two".