1311436406046 has 96 divisors (see below), whose sum is σ = 2911586785632. Its totient is φ = 393384376320.

The previous prime is 1311436406009. The next prime is 1311436406069. The reversal of 1311436406046 is 6406046341131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1311436405995 and 1311436406013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59564536 + ... + 59586548.

It is an arithmetic number, because the mean of its divisors is an integer number (30329029017).

Almost surely, 2^{1311436406046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311436406046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455793392816).

1311436406046 is an abundant number, since it is smaller than the sum of its proper divisors (1600150379586).

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

1311436406046 is a wasteful number, since it uses less digits than its factorization.

1311436406046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23518 (or 23505 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 1311436406046 in words is "one trillion, three hundred eleven billion, four hundred thirty-six million, four hundred six thousand, forty-six".