312779181990 has 128 divisors (see below), whose sum is σ = 862844244480. Its totient is φ = 71765222400.

The previous prime is 312779181989. The next prime is 312779182007. The reversal of 312779181990 is 99181977213.

312779181990 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 312779181990.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6628962 + ... + 6675978.

It is an arithmetic number, because the mean of its divisors is an integer number (6740970660).

Almost surely, 2^312779181990 is an apocalyptic number.

312779181990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312779181990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431422122240).

312779181990 is an abundant number, since it is smaller than the sum of its proper divisors (550065062490).

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

312779181990 is a wasteful number, since it uses less digits than its factorization.

312779181990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48118.

The product of its (nonzero) digits is 1714608, while the sum is 57.

The spelling of 312779181990 in words is "three hundred twelve billion, seven hundred seventy-nine million, one hundred eighty-one thousand, nine hundred ninety".