1314412262464 has 112 divisors (see below), whose sum is σ = 3036373464960. Its totient is φ = 552932904960.

The previous prime is 1314412262447. The next prime is 1314412262509. The reversal of 1314412262464 is 4642622144131.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099244 + ... + 5350804.

Almost surely, 2^{1314412262464} is an apocalyptic number.

1314412262464 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 1314412262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518186732480).

1314412262464 is an abundant number, since it is smaller than the sum of its proper divisors (1721961202496).

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

1314412262464 is a wasteful number, since it uses less digits than its factorization.

1314412262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251796 (or 251786 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 1314412262464 in words is "one trillion, three hundred fourteen billion, four hundred twelve million, two hundred sixty-two thousand, four hundred sixty-four".