1342565093376 has 1248 divisors, whose sum is σ = 4701744087040. Its totient is φ = 379243855872.

The previous prime is 1342565093339. The next prime is 1342565093407. The reversal of 1342565093376 is 6733905652431.

1342565093376 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 565 + 0 + 9 + 3 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

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, 10571378625 + ... + 10571378751.

Almost surely, 2^{1342565093376} is an apocalyptic number.

1342565093376 is a gapful number since it is divisible by the number (16) 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 1342565093376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350872043520).

1342565093376 is an abundant number, since it is smaller than the sum of its proper divisors (3359178993664).

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

1342565093376 is a wasteful number, since it uses less digits than its factorization.

1342565093376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 1342565093376 in words is "one trillion, three hundred forty-two billion, five hundred sixty-five million, ninety-three thousand, three hundred seventy-six".