1344897601047 has 288 divisors, whose sum is σ = 2885795168256. Its totient is φ = 606949770240.

The previous prime is 1344897601037. The next prime is 1344897601051. The reversal of 1344897601047 is 7401067984431.

It is a happy number.

1344897601047 is a `hidden beast` number, since 1 + 3 + 448 + 97 + 6 + 0 + 104 + 7 = 666.

It is not a de Polignac number, because 1344897601047 - 2⁶ = 1344897600983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1344897600984 and 1344897601002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344897601037) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45471658 + ... + 45501224.

It is an arithmetic number, because the mean of its divisors is an integer number (10020122112).

Almost surely, 2^{1344897601047} is an apocalyptic number.

1344897601047 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1344897601047 is an abundant number, since it is smaller than the sum of its proper divisors (1540897567209).

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

1344897601047 is a wasteful number, since it uses less digits than its factorization.

1344897601047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29641 (or 29618 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1344897601047 in words is "one trillion, three hundred forty-four billion, eight hundred ninety-seven million, six hundred one thousand, forty-seven".