12293251077744 has 1440 divisors, whose sum is σ = 45867434296320. Its totient is φ = 3158390237184.

The previous prime is 12293251077707. The next prime is 12293251077839. The reversal of 12293251077744 is 44777015239221.

12293251077744 is a `hidden beast` number, since 1 + 2 + 29 + 32 + 510 + 7 + 7 + 74 + 4 = 666.

It is a super-2 number, since 2×12293251077744² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16239433014 + ... + 16239433770.

It is an arithmetic number, because the mean of its divisors is an integer number (31852384928).

Almost surely, 2^{12293251077744} is an apocalyptic number.

12293251077744 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 12293251077744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22933717148160).

12293251077744 is an abundant number, since it is smaller than the sum of its proper divisors (33574183218576).

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

12293251077744 is a wasteful number, since it uses less digits than its factorization.

12293251077744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 12293251077744 in words is "twelve trillion, two hundred ninety-three billion, two hundred fifty-one million, seventy-seven thousand, seven hundred forty-four".