1311641136450 has 72 divisors (see below), whose sum is σ = 3654458943408. Its totient is φ = 349770966480.

The previous prime is 1311641136419. The next prime is 1311641136457. The reversal of 1311641136450 is 546311461131.

1311641136450 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 4 + 1 + 1 + 3 + 645 + 0 = 666.

It is a super-3 number, since 3×1311641136450³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311641136457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53964852 + ... + 53989151.

It is an arithmetic number, because the mean of its divisors is an integer number (50756374214).

Almost surely, 2^{1311641136450} is an apocalyptic number.

1311641136450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311641136450 is an abundant number, since it is smaller than the sum of its proper divisors (2342817806958).

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

1311641136450 is a wasteful number, since it uses less digits than its factorization.

1311641136450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107954030 (or 107954013 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 1311641136450 its reverse (546311461131), we get a palindrome (1857952597581).

The spelling of 1311641136450 in words is "one trillion, three hundred eleven billion, six hundred forty-one million, one hundred thirty-six thousand, four hundred fifty".