514787090112 has 252 divisors, whose sum is σ = 1585104033240. Its totient is φ = 159682609152.

The previous prime is 514787090107. The next prime is 514787090143. The reversal of 514787090112 is 211090787415.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14797923 + ... + 14832669.

It is an arithmetic number, because the mean of its divisors is an integer number (6290095370).

Almost surely, 2^514787090112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514787090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792552016620).

514787090112 is an abundant number, since it is smaller than the sum of its proper divisors (1070316943128).

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

514787090112 is a wasteful number, since it uses less digits than its factorization.

514787090112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34888 (or 34858 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 514787090112 in words is "five hundred fourteen billion, seven hundred eighty-seven million, ninety thousand, one hundred twelve".