311642545500000 has 2688 divisors, whose sum is σ = 1371205798341120. Its totient is φ = 67837824000000.

The previous prime is 311642545499983. The next prime is 311642545500023. The reversal of 311642545500000 is 5545246113.

311642545500000 is a `hidden beast` number, since 3 + 1 + 1 + 64 + 2 + 545 + 50 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 71428497819 + ... + 71428502181.

It is an arithmetic number, because the mean of its divisors is an integer number (510121204740).

Almost surely, 2^{311642545500000} is an apocalyptic number.

311642545500000 is a gapful number since it is divisible by the number (30) 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 311642545500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685602899170560).

311642545500000 is an abundant number, since it is smaller than the sum of its proper divisors (1059563252841120).

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

311642545500000 is a wasteful number, since it uses less digits than its factorization.

311642545500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 311642545500000 in words is "three hundred eleven trillion, six hundred forty-two billion, five hundred forty-five million, five hundred thousand".