13970282241492 has 192 divisors, whose sum is σ = 37363033128960. Its totient is φ = 4510841021568.

The previous prime is 13970282241431. The next prime is 13970282241521. The reversal of 13970282241492 is 29414228207931.

13970282241492 is a `hidden beast` number, since 1 + 3 + 9 + 70 + 2 + 82 + 2 + 4 + 1 + 492 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2252178463 + ... + 2252184665.

It is an arithmetic number, because the mean of its divisors is an integer number (194599130880).

Almost surely, 2^{13970282241492} is an apocalyptic number.

13970282241492 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 13970282241492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681516564480).

13970282241492 is an abundant number, since it is smaller than the sum of its proper divisors (23392750887468).

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

13970282241492 is a wasteful number, since it uses less digits than its factorization.

13970282241492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13970282241492 in words is "thirteen trillion, nine hundred seventy billion, two hundred eighty-two million, two hundred forty-one thousand, four hundred ninety-two".